Jen and Eva have $255. Erika and Jen have $288. The ratio of Eva to Erika is 4 : 7. How much does Jen have?
Amount that Eva has = 4 u
Amount that Erika has = 7 u
The amount that Jen has is the repeated identity.
Jen + 4 u = 255 --- (1)
Jen + 7 u = 288 --- (2)
(2) - (1)
7 u - 4 u = 288 - 255
3 u = 33
1 u = 33 ÷ 3 = 11
From (1):
Jen + 4 u = 255
Jen + 4 x 11 = 255
Jen + 44 = 255
Amount that Jen has
= 255 - 44
= $211
Answer(s): $211
