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

Answer:

54 apples

Step-by-step 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:

$\frac{2x}{3}$ - ($\frac{3}{4}$* $\frac{2x}{3}$)=

$\frac{2x}{3}$ - $\frac{6x}{12}$ =  

$\frac{8x}{12}$- $\frac{6x}{12}$= $\frac{2x}{12}$= $\frac{x}{6}$

If Rosa has 9 apples, then x will be:

9 apples =$\frac{x}{6}$

x= 9 apples * 6= 54 apples