Three women, Jaslyn, Yen and Cindy went on a shopping spree. 30% of Jaslyn's spending was equal to ¹₂ of Yen's spending. Cindy's spending was  50% more than Yen's. If Yen spent another $201, she would spend the same amount of money as Cindy.

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

Jaslyn	Yen	Cindy
5x2	3x2
	2x3	3x3
10 u	6 u	9 u

(a)
30%= ³⁰₁₀₀ = ³₁₀
³₁₀ of Jaslyn's spending is equal to ¹₂ of Yen's spending. Make the numerators the same.  LCM of 3 and 1 is 3.

310 of Jaslyn's spending = 12 of Yen's spending
310 of Jaslyn's spending =1x32x3 of Yen's spending
310 of Jaslyn's spending = 36 of Yen's spending

Jaslyn : Yen
10 : 6
5 : 3

Cindy's spending in percent when compared to Yen's
= 100% + 50%
= 150%

Yen : Cindy
100 : 150
2 : 3

Yen's spending is the repeated identity.  Make Yen's spending the same.  LCM of 3 and 2 is 6.

Jaslyn : Yen : Cindy
10 : 6 : 9

(b)

	Jaslyn	Yen	Cindy
Before	10 u	6 u	9 u
Change		+ 3 u
After	10 u	9 u	9 u

Additional amount that Yen would have to spend to be the same as Cindy
= 9 u - 6 u
= 3 u

3 u = 201

1 u = 201 ÷ 3 = 67

Amount that Jaslyn spent
= 10 u
= 10 x 67
= $670 

Answer(s): (a) 10 : 6 : 9; (b) $670