Yoko and Nicole have $233. Lucy and Yoko have $275. The ratio of Nicole to Lucy is 2 : 5. How much does Yoko have?
Amount that Nicole has = 2 u
Amount that Lucy has = 5 u
The amount that Yoko has is the repeated identity.
Yoko + 2 u = 233 --- (1)
Yoko + 5 u = 275 --- (2)
(2) - (1)
5 u - 2 u = 275 - 233
3 u = 42
1 u = 42 ÷ 3 = 14
From (1):
Yoko + 2 u = 233
Yoko + 2 x 14 = 233
Yoko + 28 = 233
Amount that Yoko has
= 233 - 28
= $205
Answer(s): $205
