Question

Anastasia’s mom baked a giant sugar cookie for her birthday. On her birthday, ⅝ of the birthday cookie was eaten. The next day her brother ate ¼ of what remained.

How much of the cookie was left for Stephanie to eat after lunch?

Answer 1

9/32 of the cookie was left for Stephanie to eat after lunch

Explanation:

Anastasia’s mom baked a giant sugar cookie for her birthday.

On her birthday, ⅝ of the birthday cookie was eaten.

So, remaining cake =
`1 - (5)/(8)=(3)/(8)`

The next day her brother ate ¼ of what remained.

Amount of cake eaten by her brother =
`(1)/(4)((3)/(8))=(3)/(32)`

So, remaining cake =
`(3)/(8)-(3)/(32)=(12-3)/(32)=(9)/(32)`

Hence 9/32 of the cookie was left for Stephanie to eat after lunch