Kylie and Betty have $186. Irene and Kylie have $258. The ratio of Betty to Irene is 1 : 5. How much does Kylie have?
Amount that Betty has = 1 u
Amount that Irene has = 5 u
The amount that Kylie has is the repeated identity.
Kylie + 1 u = 186 --- (1)
Kylie + 5 u = 258 --- (2)
(2) - (1)
5 u - 1 u = 258 - 186
4 u = 72
1 u = 72 ÷ 4 = 18
From (1):
Kylie + 1 u = 186
Kylie + 1 x 18 = 186
Kylie + 18 = 186
Amount that Kylie has
= 186 - 18
= $168
Answer(s): $168