Zoe and Joelle have $294. Xylia and Zoe have $312. The ratio of Joelle to Xylia is 3 : 4. How much does Zoe have?
Amount that Joelle has = 3 u
Amount that Xylia has = 4 u
The amount that Zoe has is the repeated identity.
Zoe + 3 u = 294 --- (1)
Zoe + 4 u = 312 --- (2)
(2) - (1)
4 u - 3 u = 312 - 294
1 u = 18
From (1):
Zoe + 3 u = 294
Zoe + 3 x 18 = 294
Zoe + 54 = 294
Amount that Zoe has
= 294 - 54
= $240
Answer(s): $240
