Kathy and Zoe have $248. Lynn and Kathy have $270. The ratio of Zoe to Lynn is 3 : 5. How much does Kathy have?
Amount that Zoe has = 3 u
Amount that Lynn has = 5 u
The amount that Kathy has is the repeated identity.
Kathy + 3 u = 248 --- (1)
Kathy + 5 u = 270 --- (2)
(2) - (1)
5 u - 3 u = 270 - 248
2 u = 22
1 u = 22 ÷ 2 = 11
From (1):
Kathy + 3 u = 248
Kathy + 3 x 11 = 248
Kathy + 33 = 248
Amount that Kathy has
= 248 - 33
= $215
Answer(s): $215
