Opal and Sarah have $294. Tammy and Opal have $350. The ratio of Sarah to Tammy is 3 : 7. How much does Opal have?
Amount that Sarah has = 3 u
Amount that Tammy has = 7 u
The amount that Opal has is the repeated identity.
Opal + 3 u = 294 --- (1)
Opal + 7 u = 350 --- (2)
(2) - (1)
7 u - 3 u = 350 - 294
4 u = 56
1 u = 56 ÷ 4 = 14
From (1):
Opal + 3 u = 294
Opal + 3 x 14 = 294
Opal + 42 = 294
Amount that Opal has
= 294 - 42
= $252
Answer(s): $252
