Victoria and Rachel have $295. Lucy and Victoria have $367. The ratio of Rachel to Lucy is 3 : 7. How much does Victoria have?
Amount that Rachel has = 3 u
Amount that Lucy has = 7 u
The amount that Victoria has is the repeated identity.
Victoria + 3 u = 295 --- (1)
Victoria + 7 u = 367 --- (2)
(2) - (1)
7 u - 3 u = 367 - 295
4 u = 72
1 u = 72 ÷ 4 = 18
From (1):
Victoria + 3 u = 295
Victoria + 3 x 18 = 295
Victoria + 54 = 295
Amount that Victoria has
= 295 - 54
= $241
Answer(s): $241
