Question

Rosa bought a bag of apples. After she baked pies, she had 2/3 of a bag left. Then she gave her cousin 3/4 of these, which was 9 apples. How many apples did Rosa have to start?

Answer 1

54 apples

Explanation:

Let's say that a bag of apples has x amount of apples. Rosa has 2/3 x after baking pies then give her cousin 3/4 of them. The number of apples that Rosa have will be:

`(2x)/(3)` - (
`(3)/(4)`*
`(2x)/(3)`)=

`(2x)/(3)` -
`(6x)/(12)` =

`(8x)/(12)`-
`(6x)/(12)`=
`(2x)/(12)`=
`(x)/(6)`

If Rosa has 9 apples, then x will be:

9 apples =
`(x)/(6)`

x= 9 apples * 6= 54 apples