Hilda and Emily have $184. Usha and Hilda have $244. The ratio of Emily to Usha is 2 : 5. How much does Hilda have?
Amount that Emily has = 2 u
Amount that Usha has = 5 u
The amount that Hilda has is the repeated identity.
Hilda + 2 u = 184 --- (1)
Hilda + 5 u = 244 --- (2)
(2) - (1)
5 u - 2 u = 244 - 184
3 u = 60
1 u = 60 ÷ 3 = 20
From (1):
Hilda + 2 u = 184
Hilda + 2 x 20 = 184
Hilda + 40 = 184
Amount that Hilda has
= 184 - 40
= $144
Answer(s): $144
