Vanessa and Mary have $282. Emma and Vanessa have $330. The ratio of Mary to Emma is 1 : 4. How much does Vanessa have?
Amount that Mary has = 1 u
Amount that Emma has = 4 u
The amount that Vanessa has is the repeated identity.
Vanessa + 1 u = 282 --- (1)
Vanessa + 4 u = 330 --- (2)
(2) - (1)
4 u - 1 u = 330 - 282
3 u = 48
1 u = 48 ÷ 3 = 16
From (1):
Vanessa + 1 u = 282
Vanessa + 1 x 16 = 282
Vanessa + 16 = 282
Amount that Vanessa has
= 282 - 16
= $266
Answer(s): $266
