Three women, Tina, Cindy and Pamela went on a shopping spree. 70% of Tina's spending was equal to ¹₂ of Cindy's spending. Pamela's spending was  25% less than Cindy's. If Cindy spent $525 less, she would spend the same amount of money as Pamela.

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

Tina	Cindy	Pamela
5x4	7x4
	4x7	3x7
20 u	28 u	21 u

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

710 of Tina's spending = 12 of Cindy's spending
710 of Tina's spending =1x72x7 of Cindy's spending
710 of Tina's spending = 714 of Cindy's spending

Tina : Cindy
10 : 14
5 : 7

Pamela's spending in percent when compared to Cindy's
= 100% - 25%
= 75%

Cindy : Pamela
100 : 75
4 : 3

Cindy's spending is the repeated identity.  Make Cindy's spending the same.  LCM of 7 and 4 is 28.

Tina : Cindy : Pamela
20 : 28 : 21

(b)

	Tina	Cindy	Pamela
Before	20 u	28 u	21 u
Change		- 7 u
After	20 u	21 u	21 u

Additional amount that Cindy would have to spend less to be the same as Pamela
= 28 u - 21 u
= 7 u

7 u = 525

1 u = 525 ÷ 7 = 75

Amount that Pamela spent
= 21 u
= 21 x 75
= $1575 

Answer(s): (a) 20 : 28 : 21; (b) $1575