Tina and Wendy have $277. Hilda and Tina have $341. The ratio of Wendy to Hilda is 3 : 7. How much does Tina have?
Amount that Wendy has = 3 u
Amount that Hilda has = 7 u
The amount that Tina has is the repeated identity.
Tina + 3 u = 277 --- (1)
Tina + 7 u = 341 --- (2)
(2) - (1)
7 u - 3 u = 341 - 277
4 u = 64
1 u = 64 ÷ 4 = 16
From (1):
Tina + 3 u = 277
Tina + 3 x 16 = 277
Tina + 48 = 277
Amount that Tina has
= 277 - 48
= $229
Answer(s): $229
