Jane and Gillian have $240. Gabby and Jane have $304. The ratio of Gillian to Gabby is 3 : 7. How much does Jane have?
Amount that Gillian has = 3 u
Amount that Gabby has = 7 u
The amount that Jane has is the repeated identity.
Jane + 3 u = 240 --- (1)
Jane + 7 u = 304 --- (2)
(2) - (1)
7 u - 3 u = 304 - 240
4 u = 64
1 u = 64 ÷ 4 = 16
From (1):
Jane + 3 u = 240
Jane + 3 x 16 = 240
Jane + 48 = 240
Amount that Jane has
= 240 - 48
= $192
Answer(s): $192
