Penelope and Fanny have $168. Anna and Penelope have $185. The ratio of Fanny to Anna is 3 : 4. How much does Penelope have?
Amount that Fanny has = 3 u
Amount that Anna has = 4 u
The amount that Penelope has is the repeated identity.
Penelope + 3 u = 168 --- (1)
Penelope + 4 u = 185 --- (2)
(2) - (1)
4 u - 3 u = 185 - 168
1 u = 17
From (1):
Penelope + 3 u = 168
Penelope + 3 x 17 = 168
Penelope + 51 = 168
Amount that Penelope has
= 168 - 51
= $117
Answer(s): $117
