Xuan and Tina have $191. Elyse and Xuan have $221. The ratio of Tina to Elyse is 1 : 4. How much does Xuan have?
Amount that Tina has = 1 u
Amount that Elyse has = 4 u
The amount that Xuan has is the repeated identity.
Xuan + 1 u = 191 --- (1)
Xuan + 4 u = 221 --- (2)
(2) - (1)
4 u - 1 u = 221 - 191
3 u = 30
1 u = 30 ÷ 3 = 10
From (1):
Xuan + 1 u = 191
Xuan + 1 x 10 = 191
Xuan + 10 = 191
Amount that Xuan has
= 191 - 10
= $181
Answer(s): $181
