Fanny and Kathy have $309. Yoko and Fanny have $349. The ratio of Kathy to Yoko is 1 : 5. How much does Fanny have?
Amount that Kathy has = 1 u
Amount that Yoko has = 5 u
The amount that Fanny has is the repeated identity.
Fanny + 1 u = 309 --- (1)
Fanny + 5 u = 349 --- (2)
(2) - (1)
5 u - 1 u = 349 - 309
4 u = 40
1 u = 40 ÷ 4 = 10
From (1):
Fanny + 1 u = 309
Fanny + 1 x 10 = 309
Fanny + 10 = 309
Amount that Fanny has
= 309 - 10
= $299
Answer(s): $299
