PSLEZoe, Joshua and Luke shared $480. Joshua received 50% more than Zoe while Luke received 30% less than Zoe. How much more than Luke did Joshua receive?
Zoe |
Joshua |
Luke |
Total |
100% |
150% |
|
|
100% |
|
70% |
|
10 u |
15 u |
7 u |
32 u |
Zoe : Joshua : Luke
100 : 150 : 70
(÷10)10 : 15 : 7
Zoe is the repeated identity.
Total amount that they shared
= 10 u + 15 u + 7 u
= 32 u
32 u = 480
1 u = 480 ÷ 32 = 15
Amount that Joshua received more than Luke
= 15 u - 7 u
= 8 u
= 8 x 15
= $120
Answer(s): $120