Risa and Cindy have $247. Elyse and Risa have $259. The ratio of Cindy to Elyse is 4 : 5. How much does Risa have?
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Amount that Cindy has = 4 u
Amount that Elyse has = 5 u
The amount that Risa has is the repeated identity.
Risa + 4 u = 247 --- (1)
Risa + 5 u = 259 --- (2)
(2) - (1)
5 u - 4 u = 259 - 247
1 u = 12
From (1):
Risa + 4 u = 247
Risa + 4 x 12 = 247
Risa + 48 = 247
Amount that Risa has
= 247 - 48
= $199
Answer(s): $199