Three women, Linda, Kylie and Yen went on a shopping spree. 70% of Linda's spending was equal to ¹₂ of Kylie's spending. Yen's spending was  70% less than Kylie's. If Kylie spent $3332 less, she would spend the same amount of money as Yen.

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

Linda	Kylie	Yen
5x10	7x10
	10x7	3x7
50 u	70 u	21 u

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

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

Linda : Kylie
10 : 14
5 : 7

Yen's spending in percent when compared to Kylie's
= 100% - 70%
= 30%

Kylie : Yen
100 : 30
10 : 3

Kylie's spending is the repeated identity.  Make Kylie's spending the same.  LCM of 7 and 10 is 70.

Linda : Kylie : Yen
50 : 70 : 21

(b)

	Linda	Kylie	Yen
Before	50 u	70 u	21 u
Change		- 49 u
After	50 u	21 u	21 u

Additional amount that Kylie would have to spend less to be the same as Yen
= 70 u - 21 u
= 49 u

49 u = 3332

1 u = 3332 ÷ 49 = 68

Amount that Yen spent
= 21 u
= 21 x 68
= $1428 

Answer(s): (a) 50 : 70 : 21; (b) $1428