Shannon and Mary have $184. Esther and Shannon have $217. The ratio of Mary to Esther is 4 : 7. How much does Shannon have?
Amount that Mary has = 4 u
Amount that Esther has = 7 u
The amount that Shannon has is the repeated identity.
Shannon + 4 u = 184 --- (1)
Shannon + 7 u = 217 --- (2)
(2) - (1)
7 u - 4 u = 217 - 184
3 u = 33
1 u = 33 ÷ 3 = 11
From (1):
Shannon + 4 u = 184
Shannon + 4 x 11 = 184
Shannon + 44 = 184
Amount that Shannon has
= 184 - 44
= $140
Answer(s): $140
