Diana and Risa have $267. Shiyun and Diana have $299. The ratio of Risa to Shiyun is 3 : 5. How much does Diana have?
Amount that Risa has = 3 u
Amount that Shiyun has = 5 u
The amount that Diana has is the repeated identity.
Diana + 3 u = 267 --- (1)
Diana + 5 u = 299 --- (2)
(2) - (1)
5 u - 3 u = 299 - 267
2 u = 32
1 u = 32 ÷ 2 = 16
From (1):
Diana + 3 u = 267
Diana + 3 x 16 = 267
Diana + 48 = 267
Amount that Diana has
= 267 - 48
= $219
Answer(s): $219
