Three women, Marion, Abi and Pamela went on a shopping spree. 30% of Marion's spending was equal to ¹₅ of Abi's spending. Pamela's spending was  70% less than Abi's. If Abi spent $798 less, she would spend the same amount of money as Pamela.

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

Marion	Abi	Pamela
2x10	3x10
	10x3	3x3
20 u	30 u	9 u

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

310 of Marion's spending = 15 of Abi's spending
310 of Marion's spending =1x35x3 of Abi's spending
310 of Marion's spending = 315 of Abi's spending

Marion : Abi
10 : 15
2 : 3

Pamela's spending in percent when compared to Abi's
= 100% - 70%
= 30%

Abi : Pamela
100 : 30
10 : 3

Abi's spending is the repeated identity.  Make Abi's spending the same.  LCM of 3 and 10 is 30.

Marion : Abi : Pamela
20 : 30 : 9

(b)

	Marion	Abi	Pamela
Before	20 u	30 u	9 u
Change		- 21 u
After	20 u	9 u	9 u

Additional amount that Abi would have to spend less to be the same as Pamela
= 30 u - 9 u
= 21 u

21 u = 798

1 u = 798 ÷ 21 = 38

Amount that Pamela spent
= 9 u
= 9 x 38
= $342 

Answer(s): (a) 20 : 30 : 9; (b) $342