Gem and Nicole have $218. Rachel and Gem have $263. The ratio of Nicole to Rachel is 1 : 4. How much does Gem have?
Amount that Nicole has = 1 u
Amount that Rachel has = 4 u
The amount that Gem has is the repeated identity.
Gem + 1 u = 218 --- (1)
Gem + 4 u = 263 --- (2)
(2) - (1)
4 u - 1 u = 263 - 218
3 u = 45
1 u = 45 ÷ 3 = 15
From (1):
Gem + 1 u = 218
Gem + 1 x 15 = 218
Gem + 15 = 218
Amount that Gem has
= 218 - 15
= $203
Answer(s): $203
