Three women, Xandra, Kylie and Min went on a shopping spree. 30% of Xandra's spending was equal to ¹₅ of Kylie's spending. Min's spending was  50% more than Kylie's. If Kylie spent another $66, she would spend the same amount of money as Min.

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

Xandra	Kylie	Min
2x2	3x2
	2x3	3x3
4 u	6 u	9 u

(a)
30%= ³⁰₁₀₀ = ³₁₀
³₁₀ of Xandra's spending is equal to ¹₅ of Kylie's spending. Make the numerators the same.  LCM of 3 and 1 is 3.

310 of Xandra's spending = 15 of Kylie's spending
310 of Xandra's spending =1x35x3 of Kylie's spending
310 of Xandra's spending = 315 of Kylie's spending

Xandra : Kylie
10 : 15
2 : 3

Min's spending in percent when compared to Kylie's
= 100% + 50%
= 150%

Kylie : Min
100 : 150
2 : 3

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

Xandra : Kylie : Min
4 : 6 : 9

(b)

	Xandra	Kylie	Min
Before	4 u	6 u	9 u
Change		+ 3 u
After	4 u	9 u	9 u

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

3 u = 66

1 u = 66 ÷ 3 = 22

Amount that Xandra spent
= 4 u
= 4 x 22
= $88 

Answer(s): (a) 4 : 6 : 9; (b) $88