Three women, Jaslyn, Gabby and Eva went on a shopping spree. 90% of Jaslyn's spending was equal to ¹₂ of Gabby's spending. Eva's spending was  40% less than Gabby's. If Gabby spent $1710 less, she would spend the same amount of money as Eva.

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

Jaslyn	Gabby	Eva
5x5	9x5
	5x9	3x9
25 u	45 u	27 u

(a)
90%= ⁹⁰₁₀₀ = ⁹₁₀
⁹₁₀ of Jaslyn's spending is equal to ¹₂ of Gabby's spending. Make the numerators the same.  LCM of 9 and 1 is 9.

910 of Jaslyn's spending = 12 of Gabby's spending
910 of Jaslyn's spending =1x92x9 of Gabby's spending
910 of Jaslyn's spending = 918 of Gabby's spending

Jaslyn : Gabby
10 : 18
5 : 9

Eva's spending in percent when compared to Gabby's
= 100% - 40%
= 60%

Gabby : Eva
100 : 60
5 : 3

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

Jaslyn : Gabby : Eva
25 : 45 : 27

(b)

	Jaslyn	Gabby	Eva
Before	25 u	45 u	27 u
Change		- 18 u
After	25 u	27 u	27 u

Additional amount that Gabby would have to spend less to be the same as Eva
= 45 u - 27 u
= 18 u

18 u = 1710

1 u = 1710 ÷ 18 = 95

Amount that Eva spent
= 27 u
= 27 x 95
= $2565 

Answer(s): (a) 25 : 45 : 27; (b) $2565