Xylia and Wendy have $317. Penelope and Xylia have $333. The ratio of Wendy to Penelope is 2 : 3. How much does Xylia have?
Amount that Wendy has = 2 u
Amount that Penelope has = 3 u
The amount that Xylia has is the repeated identity.
Xylia + 2 u = 317 --- (1)
Xylia + 3 u = 333 --- (2)
(2) - (1)
3 u - 2 u = 333 - 317
1 u = 16
From (1):
Xylia + 2 u = 317
Xylia + 2 x 16 = 317
Xylia + 32 = 317
Amount that Xylia has
= 317 - 32
= $285
Answer(s): $285
