Question

Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression 36/p represents the number of cookies that each person, p, can have if the cookies are divided equally. Which evaluations of the expression are correct? Check all that apply.

If p=5, then each person would get 6 cookies, with 4 cookies left over.
If p=7, then each person would get 5 cookies, with 1 cookie left over.
If p=8, then each person would get 4 cookies, with 3 cookies left over.
If p=10, then each person would get 3 cookies, with 6 cookies left over.
If p=11, then each person would get 3 cookies, with 3 cookies left over.
If p=12, then each person would get 3 cookies, with 1 cookie left over.
If p=15, then each person would get 2 cookies, with 6 cookies left over.

Answer 1

P=7 because 7 x 5 is 35, 36-35=1 left over

Answer 2

p=7, p=10, p=11 and p=15

Explanation:

The given expression is

`(36)/(p)`

This expression represents the number of cookies that each person, p, can have if the cookies are divided equally.

If p=5, then

`(36)/(5)=7+(1)/(5)`

It means each person would get 7 cookies, with 1 cookies left over.

If p=7, then

`(36)/(7)=5+(1)/(5)`

It means each person would get 5 cookies, with 1 cookies left over.

If p=8, then

`(36)/(8)=4+(4)/(5)`

It means each person would get 4 cookies, with 4 cookies left over.

If p=7, then

`(36)/(7)=5+(1)/(5)`

It means each person would get 5 cookies, with 1 cookies left over.

If p=10, then

`(36)/(10)=3+(6)/(5)`

It means each person would get 3 cookies, with 6 cookies left over.

If p=11, then

`(36)/(11)=3+(3)/(5)`

It means each person would get 3 cookies, with 3 cookies left over.

If p=12, then

`(36)/(12)=3`

It means each person would get 3 cookies, with 0 cookies left over.

If p=15, then

`(36)/(15)=2+(6)/(5)`

It means each person would get 2 cookies, with 6 cookies left over.

Therefore, the correct evaluations of the expression are p=7, p=10, p=11 and p=15.