Three women, Kylie, Xylia and Jaslyn went on a shopping spree. 70% of Kylie's spending was equal to ¹₂ of Xylia's spending. Jaslyn's spending was  80% less than Xylia's. If Xylia spent $3136 less, she would spend the same amount of money as Jaslyn.

1. Find the ratio of Kylie's spending to Xylia's to Jaslyn's.
2. How much did Jaslyn spend?

Kylie	Xylia	Jaslyn
5x5	7x5
	5x7	1x7
25 u	35 u	7 u

(a)
70%= ⁷⁰₁₀₀ = ⁷₁₀
⁷₁₀ of Kylie's spending is equal to ¹₂ of Xylia's spending. Make the numerators the same.  LCM of 7 and 1 is 7.

710 of Kylie's spending = 12 of Xylia's spending
710 of Kylie's spending =1x72x7 of Xylia's spending
710 of Kylie's spending = 714 of Xylia's spending

Kylie : Xylia
10 : 14
5 : 7

Jaslyn's spending in percent when compared to Xylia's
= 100% - 80%
= 20%

Xylia : Jaslyn
100 : 20
5 : 1

Xylia's spending is the repeated identity.  Make Xylia's spending the same.  LCM of 7 and 5 is 35.

Kylie : Xylia : Jaslyn
25 : 35 : 7

(b)

	Kylie	Xylia	Jaslyn
Before	25 u	35 u	7 u
Change		- 28 u
After	25 u	7 u	7 u

Additional amount that Xylia would have to spend less to be the same as Jaslyn
= 35 u - 7 u
= 28 u

28 u = 3136

1 u = 3136 ÷ 28 = 112

Amount that Jaslyn spent
= 7 u
= 7 x 112
= $784 

Answer(s): (a) 25 : 35 : 7; (b) $784