Gwen and Hazel have $193. Penelope and Gwen have $205. The ratio of Hazel to Penelope is 3 : 4. How much does Gwen have?
Amount that Hazel has = 3 u
Amount that Penelope has = 4 u
The amount that Gwen has is the repeated identity.
Gwen + 3 u = 193 --- (1)
Gwen + 4 u = 205 --- (2)
(2) - (1)
4 u - 3 u = 205 - 193
1 u = 12
From (1):
Gwen + 3 u = 193
Gwen + 3 x 12 = 193
Gwen + 36 = 193
Amount that Gwen has
= 193 - 36
= $157
Answer(s): $157
