Three women, Wendy, Eva and Anna went on a shopping spree. 70% of Wendy's spending was equal to ¹₂ of Eva's spending. Anna's spending was  40% more than Eva's. If Eva spent another $840, she would spend the same amount of money as Anna.

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

Wendy	Eva	Anna
5x5	7x5
	5x7	7x7
25 u	35 u	49 u

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

710 of Wendy's spending = 12 of Eva's spending
710 of Wendy's spending =1x72x7 of Eva's spending
710 of Wendy's spending = 714 of Eva's spending

Wendy : Eva
10 : 14
5 : 7

Anna's spending in percent when compared to Eva's
= 100% + 40%
= 140%

Eva : Anna
100 : 140
5 : 7

Eva's spending is the repeated identity.  Make Eva's spending the same.  LCM of 7 and 5 is 35.

Wendy : Eva : Anna
25 : 35 : 49

(b)

	Wendy	Eva	Anna
Before	25 u	35 u	49 u
Change		+ 14 u
After	25 u	49 u	49 u

Additional amount that Eva would have to spend to be the same as Anna
= 49 u - 35 u
= 14 u

14 u = 840

1 u = 840 ÷ 14 = 60

Amount that Wendy spent
= 25 u
= 25 x 60
= $1500 

Answer(s): (a) 25 : 35 : 49; (b) $1500