Vanessa and Gwen have $151. Pamela and Vanessa have $193. The ratio of Gwen to Pamela is 2 : 5. How much does Vanessa have?
Amount that Gwen has = 2 u
Amount that Pamela has = 5 u
The amount that Vanessa has is the repeated identity.
Vanessa + 2 u = 151 --- (1)
Vanessa + 5 u = 193 --- (2)
(2) - (1)
5 u - 2 u = 193 - 151
3 u = 42
1 u = 42 ÷ 3 = 14
From (1):
Vanessa + 2 u = 151
Vanessa + 2 x 14 = 151
Vanessa + 28 = 151
Amount that Vanessa has
= 151 - 28
= $123
Answer(s): $123
