Lucy and Hazel have $281. Risa and Lucy have $295. The ratio of Hazel to Risa is 3 : 4. How much does Lucy have?
Amount that Hazel has = 3 u
Amount that Risa has = 4 u
The amount that Lucy has is the repeated identity.
Lucy + 3 u = 281 --- (1)
Lucy + 4 u = 295 --- (2)
(2) - (1)
4 u - 3 u = 295 - 281
1 u = 14
From (1):
Lucy + 3 u = 281
Lucy + 3 x 14 = 281
Lucy + 42 = 281
Amount that Lucy has
= 281 - 42
= $239
Answer(s): $239
