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?

Respuesta :

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:

[tex]\frac{2x}{3}[/tex] - ([tex]\frac{3}{4}[/tex]* [tex]\frac{2x}{3}[/tex])=

[tex]\frac{2x}{3}[/tex] - [tex]\frac{6x}{12}[/tex] =  

[tex]\frac{8x}{12}[/tex]- [tex]\frac{6x}{12}[/tex]= [tex]\frac{2x}{12}[/tex]= [tex]\frac{x}{6}[/tex]

If Rosa has 9 apples, then x will be:

9 apples =[tex]\frac{x}{6}[/tex]

x= 9 apples * 6= 54 apples

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE