PSLESophia, Nathan and Gabriel shared $330. Nathan received 50% more than Sophia while Gabriel received 20% less than Sophia. How much more than Gabriel did Nathan receive?
Sophia |
Nathan |
Gabriel |
Total |
100% |
150% |
|
|
100% |
|
80% |
|
10 u |
15 u |
8 u |
33 u |
Sophia : Nathan : Gabriel
100 : 150 : 80
(÷10)10 : 15 : 8
Sophia is the repeated identity.
Total amount that they shared
= 10 u + 15 u + 8 u
= 33 u
33 u = 330
1 u = 330 ÷ 33 = 10
Amount that Nathan received more than Gabriel
= 15 u - 8 u
= 7 u
= 7 x 10
= $70
Answer(s): $70