Hilda and Fiona have $138. Diana and Hilda have $182. The ratio of Fiona to Diana is 1 : 5. How much does Hilda have?
Amount that Fiona has = 1 u
Amount that Diana has = 5 u
The amount that Hilda has is the repeated identity.
Hilda + 1 u = 138 --- (1)
Hilda + 5 u = 182 --- (2)
(2) - (1)
5 u - 1 u = 182 - 138
4 u = 44
1 u = 44 ÷ 4 = 11
From (1):
Hilda + 1 u = 138
Hilda + 1 x 11 = 138
Hilda + 11 = 138
Amount that Hilda has
= 138 - 11
= $127
Answer(s): $127
