Xuan and Penelope have $152. Hazel and Xuan have $164. The ratio of Penelope to Hazel is 2 : 3. How much does Xuan have?
Amount that Penelope has = 2 u
Amount that Hazel has = 3 u
The amount that Xuan has is the repeated identity.
Xuan + 2 u = 152 --- (1)
Xuan + 3 u = 164 --- (2)
(2) - (1)
3 u - 2 u = 164 - 152
1 u = 12
From (1):
Xuan + 2 u = 152
Xuan + 2 x 12 = 152
Xuan + 24 = 152
Amount that Xuan has
= 152 - 24
= $128
Answer(s): $128
