Ivory and Jane have $146. Joelle and Ivory have $194. The ratio of Jane to Joelle is 3 : 7. How much does Ivory have?
Amount that Jane has = 3 u
Amount that Joelle has = 7 u
The amount that Ivory has is the repeated identity.
Ivory + 3 u = 146 --- (1)
Ivory + 7 u = 194 --- (2)
(2) - (1)
7 u - 3 u = 194 - 146
4 u = 48
1 u = 48 ÷ 4 = 12
From (1):
Ivory + 3 u = 146
Ivory + 3 x 12 = 146
Ivory + 36 = 146
Amount that Ivory has
= 146 - 36
= $110
Answer(s): $110
