Hazel and Penelope have $281. Mary and Hazel have $295. The ratio of Penelope to Mary is 3 : 4. How much does Hazel have?
Amount that Penelope has = 3 u
Amount that Mary has = 4 u
The amount that Hazel has is the repeated identity.
Hazel + 3 u = 281 --- (1)
Hazel + 4 u = 295 --- (2)
(2) - (1)
4 u - 3 u = 295 - 281
1 u = 14
From (1):
Hazel + 3 u = 281
Hazel + 3 x 14 = 281
Hazel + 42 = 281
Amount that Hazel has
= 281 - 42
= $239
Answer(s): $239
