Hazel and Kylie have $277. Gillian and Hazel have $337. The ratio of Kylie to Gillian is 4 : 7. How much does Hazel have?
Amount that Kylie has = 4 u
Amount that Gillian has = 7 u
The amount that Hazel has is the repeated identity.
Hazel + 4 u = 277 --- (1)
Hazel + 7 u = 337 --- (2)
(2) - (1)
7 u - 4 u = 337 - 277
3 u = 60
1 u = 60 ÷ 3 = 20
From (1):
Hazel + 4 u = 277
Hazel + 4 x 20 = 277
Hazel + 80 = 277
Amount that Hazel has
= 277 - 80
= $197
Answer(s): $197
