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    Parker Owens
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Stories posted in this category are works of fiction. Names, places, characters, events, and incidents are created by the authors' imaginations or are used fictitiously. Any resemblances to actual persons (living or dead), organizations, companies, events, or locales are entirely coincidental.
Note: While authors are asked to place warnings on their stories for some moderated content, everyone has different thresholds, and it is your responsibility as a reader to avoid stories or stop reading if something bothers you. 

Cut the Cake - 1. Cut the Cake

There really is a math problem in here. Truly. Otherwise, just enjoy the cake. But leave me the frosting. Happy National Math Story Day, Drew.

My problem began when my boyfriend made me a cake.

Okay, let me back up a second. It was my birthday, and Jimmy decided a celebration was in order. Normally, I try to avoid birthdays and things like that. Too much bother over yet another year past. But Jimmy is such a sweetheart, and really, I'm kind of new at the whole boyfriend thing, so when he trailed the hint in front of me, I didn't voice any objection.

"What kind of cake do you like?" He queried.

This was a normal question-for-the-sake-of-information thing, right? I mean, we've discovered some lovely things about one another over the past few months, but how can you convey every personal piece of information in such a short time. We're nerds, not cyborgs.

"Carrot cake," I replied without hesitation. I love a good carrot cake.

"Aaaand, what plans do we have this week?"

I sighed. Now I'd have to look at the calendar. I rose from my chair. "Let me go see." I returned from the kitchen calendar a moment later. "Nothing that I can see."

Jimmy smiled one of his mischievous smiles – the kind which skewered my heart in the first place. "Great."

All this leads to this past weekend: I had to work doing some tutoring on Saturday, but Jimmy seemed unusually okay with that. When I got back to the apartment, I smelled the unmistakable scents of spice and baking.

I opened the door. "Hey, Jimmy, what have been up to?" I called out.

"You're home early," his voice echoed from the kitchen. I heard the clatter of a pan in the sink.

Walking into the kitchen, I found Jimmy up to his elbows in soapy water. And on the counter, a large rectangular sheet cake. Carrot cake. I strongly suspected cream cheese frosting, too. I love cream cheese frosting. Almost as much as Jimmy. Don't tell him I said that.

"Just what did you do?" I demanded.

"Nothing. Just a little birthday cake."

"Little? That thing's the size of football field."

"But it's a carrot cake. You said you liked carrot cake."

"I do. And it smells incredible. But it's enormous."

"Well, I thought maybe you'd be willing to share a little with all our friends."

My eyes narrowed. "Friends? Share carrot cake?"

My boyfriend turned and hugged me with soapy arms. "I just thought maybe a few friends coming over to celebrate your birthday would be a good thing. That's not a bad idea, is it?"

I wanted to shout. This is where Jimmy and I are different – he's gregarious, a friend of all the world. I'm shy, retiring, and terrible at small talk. This could be a disaster.

"Jimmy, I'm just…" The look of apprehension on Jimmy's face silenced anything else I was going to say. How can a man of our age look like such a kid? "…oh, all right. Fine, I guess that's all right."

I wasn't going to be enthusiastic.

But Jimmy smiled back at me just the same. "Thank you. You'll see. It's going to be fantastic."

My acquiescence earned me a kiss. I forgot about being irritated for few moments.

"Who's coming?"

"Friends. Val and Dave and AC from across the street. That first year teacher from school, Drew; the English woman, what's her name? Oh, and tim said he was coming, and maybe his husband, too. And your brother and his wife, they're coming early."

"Why early?"

"To help with setup. They'll be here in under an hour."

"Setup? I thought this was just a few friends."

"Oh, don't worry, there's plenty of cake."

"As long as I get half the frosting."

"Only half?" Jimmy teased.

"Hey, carrot cake is my favorite." I kissed Jimmy again. "Well, almost my favorite."

"I think we're going to have to make a quick trip to the store for some soft drinks, though."

"Oh?"

"Well, I bought plenty of prosecco, but I kind of forgot about the other stuff."

"I can go get that," I volunteered.

"For your own party? No way."

"Sure, why not? I can go."

"We'll both go," Jimmy insisted.

"What about my brother? What if he and Jeannine come early?"

"We can leave the door unlocked, with a note. They're trustworthy."

I cocked an eyebrow at Jimmy. He and I have gotten to understand each other pretty well, but he clearly doesn't know my brother.

"Come on, let me just finish these, and we can go. The sooner we get out the door, the sooner we get back."

And so we made a whirlwind trip to the store, leaving the cake to cool and a note for my brother and his wife.

Forty minutes later, we burst in the door, laughing and breathless from hustling up the stairs. We might possibly have kissed on the landing. You can review the security camera tapes if you want.

"Hey, brother mine, happy birthday." I received a one-arm bro-hug. "Working on setting up the bar here," my older sibling pointed out proudly.

"Thanks. Let me put these packages down in the kitchen."

I hate jarring surprises. I got one the moment I entered the kitchen. There on the counter was the cake – that big beautiful, rectangular cake. My big beautiful carrot cake.

And there, in a completely random spot in that lovely, beautifully frosted cake, was a rectangular hole. Someone had taken a rectangle of cake out. And not a corner or a side piece, this was rectangular hole was cut in a strange, capricious and arbitrary spot. No way to miss it. No easy way to accommodate it.

And someone had taken a rectangle's worth of frosting.

 

At least I knew it hadn’t been Jimmy. That left my brother as the culprit. Surely Jeannine wouldn't do a thing like that. My angry shout brought Jimmy and Jeannine running.

"Where's that brother of mine?"

"Paul, what's the matter?"

I pointed. Jimmy's mouth fell open; Jeannine's was set in a thin, grim line.

"How do I get half the frosting now?"

So call me irrational. You have my number.

"Wait, wait, wait a second, love," Jimmy was thinking furiously, I could tell. "Calm down."

I was going to kill my brother. I know, he's always been a big boy, and there was certainly a lot of cake – carrot cake – but still. I mean, even if I didn't want a birthday, or a party, or any of that, there was the matter of my frosting.

"Paul, it'll be fine," Jimmy was placating. "Look. All I have to do is draw one single, straight line. Just one straight line, see? And then you'll have exactly half of the frosting."

I was being silly, of course.

For one thing, Jimmy was absolutely right. I could still have exactly half of the remaining frosting. I love having a dork like me for a boyfriend. All he had to do was cut along that one single straight line, and the cake – and the frosting – would be cut precisely in half.

But more importantly, I needed to share. I had Jimmy, and he was enough.

 

 

Math Question: What was the single straight line that cut the remaining cake exactly in half? How did Jimmy know where to draw that line?

You can leave solutions and explanations here. Or just leave a comment. Hope you enjoyed one of the longest word problems on GA.
Copyright © 2017 Parker Owens; All Rights Reserved.
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Stories posted in this category are works of fiction. Names, places, characters, events, and incidents are created by the authors' imaginations or are used fictitiously. Any resemblances to actual persons (living or dead), organizations, companies, events, or locales are entirely coincidental.
Note: While authors are asked to place warnings on their stories for some moderated content, everyone has different thresholds, and it is your responsibility as a reader to avoid stories or stop reading if something bothers you. 
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  • Site Administrator

Awww... thanks so much for inviting me to your party :D  You know I'm there in a heartbeat :hug::kiss:  The carrot cake with cream cheese frosting sounds perfect.  I'll admit to being stumped by the math problem.  You do realize now you've crossed over from math poetry to math stories, right?  Does this mean that you will hide math problems in all your stories now?  I have to say I wish I had you as a math teacher instead of the boors I had in high school.  Maybe then I wouldn't find it so daunting. :hug: 

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3 hours ago, nassauman9 said:

There is more than one answer depending on where the rectangular piece was removed. If the piece was clearly to one side a diagonal line from one corner to the opposite corner would ensure that one piece was half the cake. Or, a vertical cut could be made, if the piece was clearly to the left or right of center...or a horizontal cut be made if it were clearly above or below the half way mark. OK...yes I'm a math geek....but I do like your stories. BTW.....I love carrot cake but without the frosting. Do you put raisins and nuts in yours? LOL. 

 

Nuts, yes;  raisins rarely. There is an answer that works for any placement of the missing piece...what makes me happiest is that so many have at least thought about this problem one way or another. Thank you so very much for reading and responding to this!

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45 minutes ago, Valkyrie said:

Awww... thanks so much for inviting me to your party :D  You know I'm there in a heartbeat :hug::kiss:  The carrot cake with cream cheese frosting sounds perfect.  I'll admit to being stumped by the math problem.  You do realize now you've crossed over from math poetry to math stories, right?  Does this mean that you will hide math problems in all your stories now?  I have to say I wish I had you as a math teacher instead of the boors I had in high school.  Maybe then I wouldn't find it so daunting. :hug: 

 

Just wait until the movie comes out...and I am glad you liked the story and the cake, too. I am sure the company would have been exhilarating. It is only geometry....;) I am so glad you enjoyed this. 

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35 minutes ago, Lisa said:

Wonderful math story, Parker! :) Happy National Math Story Day! :)

 

I love carrot cake and the frosting, but I have no clue whatsoever the answer to this math problem. I'll bet Drew will know, though! :rofl:

 

Then while we wait for Drew, there's another piece of cake! And a bit if prosecco, too....thanks for reading this little story, and its taste of math. 

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4 hours ago, JaySeale said:

Before the hole was cut: any straight line that goes thru the center of the cake cuts the cake in half.  By same reason, any straight line that goes thru the center of the hole cuts the hole in half.  So, the unique straight line that goes thru both the center of the cake and the center of the hole cuts the original cake in half, but also places half the hole on each side.  Thus, half the remaining cake is also on each side.

 

Can I say that you are the first to offer a perfect solution? You get one half of the cake! Thanks for reading the story, and getting hooked on the math problem, too!

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I would have calculated the area of the missing piece and the original area of the cake; then subtracted to find the net area, then placed the cut line where half the net area is on either side of the line.

 

Mind you, I've also calculated the area of pizza's on a menu and then the dollars per square inch to see if it's cheaper to buy 2 mediums or a single extra large...

Edited by jagboi
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9 hours ago, chris191070 said:

Diagonally but then carrot cake is one of my favourite cakes so I would have my share first and leave everyone else to fight over the leftovers. Loved the story.

 

I am very glad you liked this story. There is an actual solution involving some geometry, but then, it is probably entertaining to watch the fight over the leftovers. I am sure Jimmy will make Paul more cake, and more frosting.

8 hours ago, jagboi said:

I would have calculated the area of the missing piece and the original area of the cake; then subtracted to find the net area, then placed the cut line where half the net area is on either side of the line.

 

Mind you, I've also calculated the area of pizza's on a menu and then the dollars per square inch to see if it's cheaper to buy 2 mediums or a single extra large...

 But of course you would calculate that! How else would we know? However, we want to find the actual line of cut, rather than a how-much sort of calculation. This needs some geometry...and a straightedge. A straightedge that can be cleaned.

 

I am glad you tackled the problem, and I hope the story made you smile.

59 minutes ago, dughlas said:

I love carrot cake with cream cheese frosting so I should like a piece too. I think it might be as good as the story, even if there was geometry involved.

 Even if geometry was involved... thank you dear Dugh. That was a high compliment. I think. I am glad you enjoyed the story; and I am sure there is a piece for you.

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4 hours ago, Rndmrunner said:

Paul is concerned with half the frosting so slice the top half of the frosting off, as for the actual cake, Paul seems less concerned with what his share is. This is not so much "halfing" your cake and eating it but having cake and eating half the frosting. 

 

Thanks for the story and the puzzle

 

 

I am very glad you enjoyed the story, and for the problem embedded therein. Paul could try cutting the cake as you suggest, but it could turn out to be a disaster cutting horizontally. I have tried it, and it did not turn out well. Then again, I'm a klutz. There is a way to geometrically find the line of the single cut. But as another reader suggested, it might be just as much fun to watch everyone fight over the leftovers. Thanks so much for reading this little offering.

Loved algebra but was terrible at geometry & trig. Stretching back almost half a century, I was originally excited that i could solve it. Then , I realized that the rectangle was in an arbitrary place. After some more thought, I think I have the solution, but I can't figure out how to make it hidden text writing from my iPhone. So I have to wait until I get home. 

 

Oh, the story was absolutely delicious! My mouth was watering thinking about a giant carrot cake.  🎂 🍽👏🏽

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