Three women, Ivory, Fiona and Cindy went on a shopping spree. 70% of Ivory's spending was equal to ¹₆ of Fiona's spending. Cindy's spending was  50% more than Fiona's. If Fiona spent another $1659, she would spend the same amount of money as Cindy.

1. Find the ratio of Ivory's spending to Fiona's to Cindy's.
2. How much did Ivory spend?

Ivory	Fiona	Cindy
5x2	21x2
	2x21	3x21
10 u	42 u	63 u

(a)
70%= ⁷⁰₁₀₀ = ⁷₁₀
⁷₁₀ of Ivory's spending is equal to ¹₆ of Fiona's spending. Make the numerators the same.  LCM of 7 and 1 is 7.

710 of Ivory's spending = 16 of Fiona's spending
710 of Ivory's spending =1x76x7 of Fiona's spending
710 of Ivory's spending = 742 of Fiona's spending

Ivory : Fiona
10 : 42
5 : 21

Cindy's spending in percent when compared to Fiona's
= 100% + 50%
= 150%

Fiona : Cindy
100 : 150
2 : 3

Fiona's spending is the repeated identity.  Make Fiona's spending the same.  LCM of 21 and 2 is 42.

Ivory : Fiona : Cindy
10 : 42 : 63

(b)

	Ivory	Fiona	Cindy
Before	10 u	42 u	63 u
Change		+ 21 u
After	10 u	63 u	63 u

Additional amount that Fiona would have to spend to be the same as Cindy
= 63 u - 42 u
= 21 u

21 u = 1659

1 u = 1659 ÷ 21 = 79

Amount that Ivory spent
= 10 u
= 10 x 79
= $790 

Answer(s): (a) 10 : 42 : 63; (b) $790