Hilda and Lynn have $281. Gillian and Hilda have $294. The ratio of Lynn to Gillian is 3 : 4. How much does Hilda have?
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Amount that Lynn has = 3 u
Amount that Gillian has = 4 u
The amount that Hilda has is the repeated identity.
Hilda + 3 u = 281 --- (1)
Hilda + 4 u = 294 --- (2)
(2) - (1)
4 u - 3 u = 294 - 281
1 u = 13
From (1):
Hilda + 3 u = 281
Hilda + 3 x 13 = 281
Hilda + 39 = 281
Amount that Hilda has
= 281 - 39
= $242
Answer(s): $242