Question

Amanda and Alisa share dresses in the ratio 11:13. If Alisa gives 10 dresses to Amanda, Amanda will have twice as many dresses as Alisa has. How many dresses does each of the girls have?

Answer 1

Amanda = 22

Alisa = 26

Explanation:

Amanda : Alisa = 11 : 13

Amanda : Alisa = 11x : 13x

Alisa gives 10 dresses to Amanda.

Amanda = 11x + 10

Alisa = 13x - 10

Amanda will have twice as many dresses as Alisa has.

11x + 10 = 2(13x - 10)

11x + 10 = 2(13x - 10)

11x + 10 = 26x - 20

15x = 30

x = 2

Amanda

= 11 x 2

= 22

Alisa

= 13 x 2

= 26