Gem and Gillian have $233. Natalie and Gem have $246. The ratio of Gillian to Natalie is 2 : 3. How much does Gem have?
Amount that Gillian has = 2 u
Amount that Natalie has = 3 u
The amount that Gem has is the repeated identity.
Gem + 2 u = 233 --- (1)
Gem + 3 u = 246 --- (2)
(2) - (1)
3 u - 2 u = 246 - 233
1 u = 13
From (1):
Gem + 2 u = 233
Gem + 2 x 13 = 233
Gem + 26 = 233
Amount that Gem has
= 233 - 26
= $207
Answer(s): $207
