Gem and Joelle have $165. Winnie and Gem have $184. The ratio of Joelle to Winnie is 1 : 2. How much does Gem have?
Amount that Joelle has = 1 u
Amount that Winnie has = 2 u
The amount that Gem has is the repeated identity.
Gem + 1 u = 165 --- (1)
Gem + 2 u = 184 --- (2)
(2) - (1)
2 u - 1 u = 184 - 165
1 u = 19
From (1):
Gem + 1 u = 165
Gem + 1 x 19 = 165
Gem + 19 = 165
Amount that Gem has
= 165 - 19
= $146
Answer(s): $146
