Cindy and Hazel have $235. Mary and Cindy have $303. The ratio of Hazel to Mary is 1 : 5. How much does Cindy have?
Amount that Hazel has = 1 u
Amount that Mary has = 5 u
The amount that Cindy has is the repeated identity.
Cindy + 1 u = 235 --- (1)
Cindy + 5 u = 303 --- (2)
(2) - (1)
5 u - 1 u = 303 - 235
4 u = 68
1 u = 68 ÷ 4 = 17
From (1):
Cindy + 1 u = 235
Cindy + 1 x 17 = 235
Cindy + 17 = 235
Amount that Cindy has
= 235 - 17
= $218
Answer(s): $218