Three women, Jaslyn, Tammy and Victoria went on a shopping spree. 70% of Jaslyn's spending was equal to ¹₆ of Tammy's spending. Victoria's spending was  40% more than Tammy's. If Tammy spent another $1092, she would spend the same amount of money as Victoria.

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

Jaslyn	Tammy	Victoria
5x5	21x5
	5x21	7x21
25 u	105 u	147 u

(a)
70%= ⁷⁰₁₀₀ = ⁷₁₀
⁷₁₀ of Jaslyn's spending is equal to ¹₆ of Tammy's spending. Make the numerators the same.  LCM of 7 and 1 is 7.

710 of Jaslyn's spending = 16 of Tammy's spending
710 of Jaslyn's spending =1x76x7 of Tammy's spending
710 of Jaslyn's spending = 742 of Tammy's spending

Jaslyn : Tammy
10 : 42
5 : 21

Victoria's spending in percent when compared to Tammy's
= 100% + 40%
= 140%

Tammy : Victoria
100 : 140
5 : 7

Tammy's spending is the repeated identity.  Make Tammy's spending the same.  LCM of 21 and 5 is 105.

Jaslyn : Tammy : Victoria
25 : 105 : 147

(b)

	Jaslyn	Tammy	Victoria
Before	25 u	105 u	147 u
Change		+ 42 u
After	25 u	147 u	147 u

Additional amount that Tammy would have to spend to be the same as Victoria
= 147 u - 105 u
= 42 u

42 u = 1092

1 u = 1092 ÷ 42 = 26

Amount that Jaslyn spent
= 25 u
= 25 x 26
= $650 

Answer(s): (a) 25 : 105 : 147; (b) $650