Three women, Jade, Min and Nora went on a shopping spree. 70% of Jade's spending was equal to ¹₂ of Min's spending. Nora's spending was  70% less than Min's. If Min spent $2695 less, she would spend the same amount of money as Nora.

1. Find the ratio of Jade's spending to Min's to Nora's.
2. How much did Nora spend?

Jade	Min	Nora
5x10	7x10
	10x7	3x7
50 u	70 u	21 u

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

710 of Jade's spending = 12 of Min's spending
710 of Jade's spending =1x72x7 of Min's spending
710 of Jade's spending = 714 of Min's spending

Jade : Min
10 : 14
5 : 7

Nora's spending in percent when compared to Min's
= 100% - 70%
= 30%

Min : Nora
100 : 30
10 : 3

Min's spending is the repeated identity.  Make Min's spending the same.  LCM of 7 and 10 is 70.

Jade : Min : Nora
50 : 70 : 21

(b)

	Jade	Min	Nora
Before	50 u	70 u	21 u
Change		- 49 u
After	50 u	21 u	21 u

Additional amount that Min would have to spend less to be the same as Nora
= 70 u - 21 u
= 49 u

49 u = 2695

1 u = 2695 ÷ 49 = 55

Amount that Nora spent
= 21 u
= 21 x 55
= $1155 

Answer(s): (a) 50 : 70 : 21; (b) $1155