Fiona and Cathy have $186. Gillian and Fiona have $203. The ratio of Cathy to Gillian is 3 : 4. How much does Fiona have?
Amount that Cathy has = 3 u
Amount that Gillian has = 4 u
The amount that Fiona has is the repeated identity.
Fiona + 3 u = 186 --- (1)
Fiona + 4 u = 203 --- (2)
(2) - (1)
4 u - 3 u = 203 - 186
1 u = 17
From (1):
Fiona + 3 u = 186
Fiona + 3 x 17 = 186
Fiona + 51 = 186
Amount that Fiona has
= 186 - 51
= $135
Answer(s): $135
