Xylia and Natalie have $186. Irene and Xylia have $203. The ratio of Natalie to Irene is 2 : 3. How much does Xylia have?
Amount that Natalie has = 2 u
Amount that Irene has = 3 u
The amount that Xylia has is the repeated identity.
Xylia + 2 u = 186 --- (1)
Xylia + 3 u = 203 --- (2)
(2) - (1)
3 u - 2 u = 203 - 186
1 u = 17
From (1):
Xylia + 2 u = 186
Xylia + 2 x 17 = 186
Xylia + 34 = 186
Amount that Xylia has
= 186 - 34
= $152
Answer(s): $152