Jean and Gem have $170. Usha and Jean have $210. The ratio of Gem to Usha is 1 : 5. How much does Jean have?
Amount that Gem has = 1 u
Amount that Usha has = 5 u
The amount that Jean has is the repeated identity.
Jean + 1 u = 170 --- (1)
Jean + 5 u = 210 --- (2)
(2) - (1)
5 u - 1 u = 210 - 170
4 u = 40
1 u = 40 ÷ 4 = 10
From (1):
Jean + 1 u = 170
Jean + 1 x 10 = 170
Jean + 10 = 170
Amount that Jean has
= 170 - 10
= $160
Answer(s): $160
