Hazel and Zoe have $317. Elyse and Hazel have $353. The ratio of Zoe to Elyse is 4 : 7. How much does Hazel have?
Amount that Zoe has = 4 u
Amount that Elyse has = 7 u
The amount that Hazel has is the repeated identity.
Hazel + 4 u = 317 --- (1)
Hazel + 7 u = 353 --- (2)
(2) - (1)
7 u - 4 u = 353 - 317
3 u = 36
1 u = 36 ÷ 3 = 12
From (1):
Hazel + 4 u = 317
Hazel + 4 x 12 = 317
Hazel + 48 = 317
Amount that Hazel has
= 317 - 48
= $269
Answer(s): $269
