Olivia and Dana have $219. Ivory and Olivia have $264. The ratio of Dana to Ivory is 2 : 5. How much does Olivia have?
Amount that Dana has = 2 u
Amount that Ivory has = 5 u
The amount that Olivia has is the repeated identity.
Olivia + 2 u = 219 --- (1)
Olivia + 5 u = 264 --- (2)
(2) - (1)
5 u - 2 u = 264 - 219
3 u = 45
1 u = 45 ÷ 3 = 15
From (1):
Olivia + 2 u = 219
Olivia + 2 x 15 = 219
Olivia + 30 = 219
Amount that Olivia has
= 219 - 30
= $189
Answer(s): $189
