Gwen and Fanny have $207. Kimberly and Gwen have $249. The ratio of Fanny to Kimberly is 2 : 5. How much does Gwen have?
Amount that Fanny has = 2 u
Amount that Kimberly has = 5 u
The amount that Gwen has is the repeated identity.
Gwen + 2 u = 207 --- (1)
Gwen + 5 u = 249 --- (2)
(2) - (1)
5 u - 2 u = 249 - 207
3 u = 42
1 u = 42 ÷ 3 = 14
From (1):
Gwen + 2 u = 207
Gwen + 2 x 14 = 207
Gwen + 28 = 207
Amount that Gwen has
= 207 - 28
= $179
Answer(s): $179
