PSLERoshel, Emma and Alexander shared $310. Emma received 30% more than Roshel while Alexander received 20% less than Roshel. How much more than Alexander did Emma receive?
Roshel |
Emma |
Alexander |
Total |
100% |
130% |
|
|
100% |
|
80% |
|
10 u |
13 u |
8 u |
31 u |
Roshel : Emma : Alexander
100 : 130 : 80
(÷10)10 : 13 : 8
Roshel is the repeated identity.
Total amount that they shared
= 10 u + 13 u + 8 u
= 31 u
31 u = 310
1 u = 310 ÷ 31 = 10
Amount that Emma received more than Alexander
= 13 u - 8 u
= 5 u
= 5 x 10
= $50
Answer(s): $50