Fiona and Barbara have $252. Xylia and Fiona have $332. The ratio of Barbara to Xylia is 1 : 5. How much does Fiona have?
Amount that Barbara has = 1 u
Amount that Xylia has = 5 u
The amount that Fiona has is the repeated identity.
Fiona + 1 u = 252 --- (1)
Fiona + 5 u = 332 --- (2)
(2) - (1)
5 u - 1 u = 332 - 252
4 u = 80
1 u = 80 ÷ 4 = 20
From (1):
Fiona + 1 u = 252
Fiona + 1 x 20 = 252
Fiona + 20 = 252
Amount that Fiona has
= 252 - 20
= $232
Answer(s): $232
