Nora and Linda have $153. Anna and Nora have $181. The ratio of Linda to Anna is 1 : 3. How much does Nora have?
Amount that Linda has = 1 u
Amount that Anna has = 3 u
The amount that Nora has is the repeated identity.
Nora + 1 u = 153 --- (1)
Nora + 3 u = 181 --- (2)
(2) - (1)
3 u - 1 u = 181 - 153
2 u = 28
1 u = 28 ÷ 2 = 14
From (1):
Nora + 1 u = 153
Nora + 1 x 14 = 153
Nora + 14 = 153
Amount that Nora has
= 153 - 14
= $139
Answer(s): $139