Shannon and Emma have $211. Jean and Shannon have $256. The ratio of Emma to Jean is 2 : 5. How much does Shannon have?
Amount that Emma has = 2 u
Amount that Jean has = 5 u
The amount that Shannon has is the repeated identity.
Shannon + 2 u = 211 --- (1)
Shannon + 5 u = 256 --- (2)
(2) - (1)
5 u - 2 u = 256 - 211
3 u = 45
1 u = 45 ÷ 3 = 15
From (1):
Shannon + 2 u = 211
Shannon + 2 x 15 = 211
Shannon + 30 = 211
Amount that Shannon has
= 211 - 30
= $181
Answer(s): $181
