Three women, Julie, Kimberly and Erika went on a shopping spree. 30% of Julie's spending was equal to ¹₆ of Kimberly's spending. Erika's spending was  80% less than Kimberly's. If Kimberly spent $2628 less, she would spend the same amount of money as Erika.

1. Find the ratio of Julie's spending to Kimberly's to Erika's.
2. How much did Erika spend?

Julie	Kimberly	Erika
5x5	9x5
	5x9	1x9
25 u	45 u	9 u

(a)
30%= ³⁰₁₀₀ = ³₁₀
³₁₀ of Julie's spending is equal to ¹₆ of Kimberly's spending. Make the numerators the same.  LCM of 3 and 1 is 3.

310 of Julie's spending = 16 of Kimberly's spending
310 of Julie's spending =1x36x3 of Kimberly's spending
310 of Julie's spending = 318 of Kimberly's spending

Julie : Kimberly
10 : 18
5 : 9

Erika's spending in percent when compared to Kimberly's
= 100% - 80%
= 20%

Kimberly : Erika
100 : 20
5 : 1

Kimberly's spending is the repeated identity.  Make Kimberly's spending the same.  LCM of 9 and 5 is 45.

Julie : Kimberly : Erika
25 : 45 : 9

(b)

	Julie	Kimberly	Erika
Before	25 u	45 u	9 u
Change		- 36 u
After	25 u	9 u	9 u

Additional amount that Kimberly would have to spend less to be the same as Erika
= 45 u - 9 u
= 36 u

36 u = 2628

1 u = 2628 ÷ 36 = 73

Amount that Erika spent
= 9 u
= 9 x 73
= $657 

Answer(s): (a) 25 : 45 : 9; (b) $657