Nora and Sabrina have $175. Olivia and Nora have $217. The ratio of Sabrina to Olivia is 2 : 5. How much does Nora have?
Amount that Sabrina has = 2 u
Amount that Olivia has = 5 u
The amount that Nora has is the repeated identity.
Nora + 2 u = 175 --- (1)
Nora + 5 u = 217 --- (2)
(2) - (1)
5 u - 2 u = 217 - 175
3 u = 42
1 u = 42 ÷ 3 = 14
From (1):
Nora + 2 u = 175
Nora + 2 x 14 = 175
Nora + 28 = 175
Amount that Nora has
= 175 - 28
= $147
Answer(s): $147
