Three women, Jaslyn, Pamela and Gabby went on a shopping spree. 90% of Jaslyn's spending was equal to ¹₅ of Pamela's spending. Gabby's spending was  50% more than Pamela's. If Pamela spent another $882, she would spend the same amount of money as Gabby.

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

Jaslyn	Pamela	Gabby
2x2	9x2
	2x9	3x9
4 u	18 u	27 u

(a)
90%= ⁹⁰₁₀₀ = ⁹₁₀
⁹₁₀ of Jaslyn's spending is equal to ¹₅ of Pamela's spending. Make the numerators the same.  LCM of 9 and 1 is 9.

910 of Jaslyn's spending = 15 of Pamela's spending
910 of Jaslyn's spending =1x95x9 of Pamela's spending
910 of Jaslyn's spending = 945 of Pamela's spending

Jaslyn : Pamela
10 : 45
2 : 9

Gabby's spending in percent when compared to Pamela's
= 100% + 50%
= 150%

Pamela : Gabby
100 : 150
2 : 3

Pamela's spending is the repeated identity.  Make Pamela's spending the same.  LCM of 9 and 2 is 18.

Jaslyn : Pamela : Gabby
4 : 18 : 27

(b)

	Jaslyn	Pamela	Gabby
Before	4 u	18 u	27 u
Change		+ 9 u
After	4 u	27 u	27 u

Additional amount that Pamela would have to spend to be the same as Gabby
= 27 u - 18 u
= 9 u

9 u = 882

1 u = 882 ÷ 9 = 98

Amount that Jaslyn spent
= 4 u
= 4 x 98
= $392 

Answer(s): (a) 4 : 18 : 27; (b) $392