Penelope and Gwen have $175. Betty and Penelope have $187. The ratio of Gwen to Betty is 1 : 2. How much does Penelope have?
Amount that Gwen has = 1 u
Amount that Betty has = 2 u
The amount that Penelope has is the repeated identity.
Penelope + 1 u = 175 --- (1)
Penelope + 2 u = 187 --- (2)
(2) - (1)
2 u - 1 u = 187 - 175
1 u = 12
From (1):
Penelope + 1 u = 175
Penelope + 1 x 12 = 175
Penelope + 12 = 175
Amount that Penelope has
= 175 - 12
= $163
Answer(s): $163
