No One Likes The Crust

Logic Level 1

It's Alice's birthday, and today is her birthday party. Alice's father orders one large, rectangular sheet pizza for everyone to eat, but unfortunately, none of the kids like the crust! If each row of the pizza has 10 slices, and each column of the pizza has 8 slices, and no one eats the slices that have crust (AKA the edge pieces), how many slices are left over at the end of the party?


The answer is 32.

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Garrett Clarke by Garrett Clarke , 25, USA

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6 solutions

Tom Engelsman
Nov 17, 2015

Of this 80-slice pizza, it has 2 end rows of 10 slices each + 2 end columns of 8 slices each = 36 end slices with crust. Subtracting the four common corner slices gives 32 crusted slices.

35 Helpful 4 Interesting 8 Brilliant 8 Confused

If their is 80 peices of pizza and you take the rows of 10 on each side then that means that their a only 6 crust slices on each other side so it's 80-10-10-6-6 which is 48

Sam Catlin - 5 years, 2 months ago

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That is how much they ate, I got confused with 48. Well... the remaining pieces are 32.

Abhimanyu SG - 5 years, 1 month ago

I got the same answer but but forgot it's asking how much was left and not eaten.

JD Bassi - 5 years ago

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gotta read the question carefully.

Austin Li - 10 months, 1 week ago

I imagined it as a square pizza and solved it! And it worked!!!

Debmeet Banerjee - 5 years, 6 months ago

It doesn't say that the adults don't eat the pizza.

Colleen Nagel - 5 years ago

I thought you’d have to find the area or perimeter!! I tried 36,89 and 34!!!

Alegra Beech - 2 years, 10 months ago
Nick Alderton
Mar 22, 2016

This question mentions nothing about the rest of the pizza being eaten, just that the crusts aren't.

16 Helpful 1 Interesting 3 Brilliant 0 Confused

I read this question wrong! 10 x 8 = 80 (To find the area of the pizza) 80 - (10x2) = 60 (removing the top and bottom pizza bits) 60 - (6x2) = 48 There are 48 pieces that the children will eat, leaving 32 peices which have crush and will not be ate.

Jack Jones - 5 years ago

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Thanks. I too did the same mistake.

Harsh Aryan - 1 year, 10 months ago

It doesn't say anything about the corners either

Stefan Andries - 5 years ago

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Polo Garfield - 4 years, 11 months ago

I have written 32 only

Debdeep Sen - 6 months ago
Achille 'Gilles'
Nov 22, 2015

2•((10-1)+(8-1)) = 9+7+9+7 = 32

Assign each of the corner to only one side so a side is (x-1)

The other approach is that the total number of share is 10 • 8 = 80 and only (10-2) • (8-2) = 48 is eaten so 80 - 48 = 32 is left.

11 Helpful 0 Interesting 2 Brilliant 0 Confused

Yaaaaasssss

Eshal Jalal - 4 years, 5 months ago

I was waiting for someone to mention that the corner pieces should be subtracted both times. Only once.

Akay Akay - 1 year, 11 months ago

There are 80 slices pizza So, there are ( 80 - (6 * 8)) = 32 slices pizza left.

2 Helpful 0 Interesting 0 Brilliant 1 Confused
Zahid Hussain
Jul 24, 2019

If nobody eats crusts that means the top and bottom row as well as the right most and left most column are not eaten.
Now let's see what is eaten? It is from row 2 to 7 and column 2 to 9. This makes it 6 rows and 8 columns.
So 48 pieces are eaten leaving 32 pieces as uneaten.

0 Helpful 0 Interesting 1 Brilliant 0 Confused

I think the answer should be at least 32, because it is not said if all the rest has been eaten or not. There can be more slices left.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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