Cindy and Olivia have $262. Zoe and Cindy have $294. The ratio of Olivia to Zoe is 1 : 3. How much does Cindy have?
Amount that Olivia has = 1 u
Amount that Zoe has = 3 u
The amount that Cindy has is the repeated identity.
Cindy + 1 u = 262 --- (1)
Cindy + 3 u = 294 --- (2)
(2) - (1)
3 u - 1 u = 294 - 262
2 u = 32
1 u = 32 ÷ 2 = 16
From (1):
Cindy + 1 u = 262
Cindy + 1 x 16 = 262
Cindy + 16 = 262
Amount that Cindy has
= 262 - 16
= $246
Answer(s): $246
