Zoe and Emma have $352. Elyse and Zoe have $403. The ratio of Emma to Elyse is 4 : 7. How much does Zoe have?
Amount that Emma has = 4 u
Amount that Elyse has = 7 u
The amount that Zoe has is the repeated identity.
Zoe + 4 u = 352 --- (1)
Zoe + 7 u = 403 --- (2)
(2) - (1)
7 u - 4 u = 403 - 352
3 u = 51
1 u = 51 ÷ 3 = 17
From (1):
Zoe + 4 u = 352
Zoe + 4 x 17 = 352
Zoe + 68 = 352
Amount that Zoe has
= 352 - 68
= $284
Answer(s): $284
