Xylia and Mary have $293. Olivia and Xylia have $313. The ratio of Mary to Olivia is 1 : 3. How much does Xylia have?
Amount that Mary has = 1 u
Amount that Olivia has = 3 u
The amount that Xylia has is the repeated identity.
Xylia + 1 u = 293 --- (1)
Xylia + 3 u = 313 --- (2)
(2) - (1)
3 u - 1 u = 313 - 293
2 u = 20
1 u = 20 ÷ 2 = 10
From (1):
Xylia + 1 u = 293
Xylia + 1 x 10 = 293
Xylia + 10 = 293
Amount that Xylia has
= 293 - 10
= $283
Answer(s): $283
