Esther and Abi have $198. Betty and Esther have $246. The ratio of Abi to Betty is 4 : 7. How much does Esther have?
Amount that Abi has = 4 u
Amount that Betty has = 7 u
The amount that Esther has is the repeated identity.
Esther + 4 u = 198 --- (1)
Esther + 7 u = 246 --- (2)
(2) - (1)
7 u - 4 u = 246 - 198
3 u = 48
1 u = 48 ÷ 3 = 16
From (1):
Esther + 4 u = 198
Esther + 4 x 16 = 198
Esther + 64 = 198
Amount that Esther has
= 198 - 64
= $134
Answer(s): $134
