# Pizza Cost Math Brain Teaser

Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out that Jasmine and Thibault were hungrier than Noah. They both ate 6 slices a piece, and Noah got to eat just 2 slices.

Now they want to do a fair split of money. The problem is that none of them have coins with them. Thus, they want to round off the cost to nearest dollar.

What will be the correct way to do it?

What if the pizza’s cost was $11?

Without any approximation, the results turn out to be:

Jasmine ~4.7

Thibault~ 4.7

Noah ~ 1.5

Now, considering that Jasmine and Thibault had equal slices, they must pay equal. Thus they are rounded off to 5 and Noah pays 1. This makes sense also because the decimal value of Noah is least so he should be the one to pay lower value of the rounded numbers.

As Thibault & Jasmine ate equal quantity, they should pay the same amount. But since that’s not possible, they can decide with fair coin toss to decide who will pay the extra dollar. Now, let’s assume that Thibault pays $1 extra after losing

Thibault will pay $5, Jasmine will pay $4 and Noah will pay $2.

As given, the pizza’s cost is $11.

We can simply keep the same offset and divide. Thibault is paying 6% more, Jasmine is paying 15% more and Noah is paying 27% more.

Keeping the offset same both Thibault & Jasmine will pay $5 each and Noah will pay $1

### Your Answer

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