Zoe and Jen have $307. Usha and Zoe have $341. The ratio of Jen to Usha is 1 : 3. How much does Zoe have?
Amount that Jen has = 1 u
Amount that Usha has = 3 u
The amount that Zoe has is the repeated identity.
Zoe + 1 u = 307 --- (1)
Zoe + 3 u = 341 --- (2)
(2) - (1)
3 u - 1 u = 341 - 307
2 u = 34
1 u = 34 ÷ 2 = 17
From (1):
Zoe + 1 u = 307
Zoe + 1 x 17 = 307
Zoe + 17 = 307
Amount that Zoe has
= 307 - 17
= $290
Answer(s): $290
