PSLEAlexander, Luke and Lucy shared $330. Luke received 50% more than Alexander while Lucy received 20% less than Alexander. How much more than Lucy did Luke receive?
Alexander |
Luke |
Lucy |
Total |
100% |
150% |
|
|
100% |
|
80% |
|
10 u |
15 u |
8 u |
33 u |
Alexander : Luke : Lucy
100 : 150 : 80
(÷10)10 : 15 : 8
Alexander 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 Luke received more than Lucy
= 15 u - 8 u
= 7 u
= 7 x 10
= $70
Answer(s): $70