Vanessa and Jen have $196. Jane and Vanessa have $253. The ratio of Jen to Jane is 2 : 5. How much does Vanessa have?
Amount that Jen has = 2 u
Amount that Jane has = 5 u
The amount that Vanessa has is the repeated identity.
Vanessa + 2 u = 196 --- (1)
Vanessa + 5 u = 253 --- (2)
(2) - (1)
5 u - 2 u = 253 - 196
3 u = 57
1 u = 57 ÷ 3 = 19
From (1):
Vanessa + 2 u = 196
Vanessa + 2 x 19 = 196
Vanessa + 38 = 196
Amount that Vanessa has
= 196 - 38
= $158
Answer(s): $158
