Three women, Yoko, Usha and Kylie went on a shopping spree. 70% of Yoko's spending was equal to ¹₂ of Usha's spending. Kylie's spending was  80% less than Usha's. If Usha spent $1400 less, she would spend the same amount of money as Kylie.

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

Yoko	Usha	Kylie
5x5	7x5
	5x7	1x7
25 u	35 u	7 u

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

710 of Yoko's spending = 12 of Usha's spending
710 of Yoko's spending =1x72x7 of Usha's spending
710 of Yoko's spending = 714 of Usha's spending

Yoko : Usha
10 : 14
5 : 7

Kylie's spending in percent when compared to Usha's
= 100% - 80%
= 20%

Usha : Kylie
100 : 20
5 : 1

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

Yoko : Usha : Kylie
25 : 35 : 7

(b)

	Yoko	Usha	Kylie
Before	25 u	35 u	7 u
Change		- 28 u
After	25 u	7 u	7 u

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

28 u = 1400

1 u = 1400 ÷ 28 = 50

Amount that Kylie spent
= 7 u
= 7 x 50
= $350 

Answer(s): (a) 25 : 35 : 7; (b) $350