Usha and Shiyun have $286. Nora and Usha have $350. The ratio of Shiyun to Nora is 3 : 7. How much does Usha have?
Amount that Shiyun has = 3 u
Amount that Nora has = 7 u
The amount that Usha has is the repeated identity.
Usha + 3 u = 286 --- (1)
Usha + 7 u = 350 --- (2)
(2) - (1)
7 u - 3 u = 350 - 286
4 u = 64
1 u = 64 ÷ 4 = 16
From (1):
Usha + 3 u = 286
Usha + 3 x 16 = 286
Usha + 48 = 286
Amount that Usha has
= 286 - 48
= $238
Answer(s): $238
