Ivory and Yen have $129. Xylia and Ivory have $140. The ratio of Yen to Xylia is 2 : 3. How much does Ivory have?
Amount that Yen has = 2 u
Amount that Xylia has = 3 u
The amount that Ivory has is the repeated identity.
Ivory + 2 u = 129 --- (1)
Ivory + 3 u = 140 --- (2)
(2) - (1)
3 u - 2 u = 140 - 129
1 u = 11
From (1):
Ivory + 2 u = 129
Ivory + 2 x 11 = 129
Ivory + 22 = 129
Amount that Ivory has
= 129 - 22
= $107
Answer(s): $107
