PSLEWilliam, Victoria and Hannah shared $870. Victoria received 20% more than William while Hannah received 30% less than William. How much more than Hannah did Victoria receive?
William |
Victoria |
Hannah |
Total |
100% |
120% |
|
|
100% |
|
70% |
|
10 u |
12 u |
7 u |
29 u |
William : Victoria : Hannah
100 : 120 : 70
(÷10)10 : 12 : 7
William is the repeated identity.
Total amount that they shared
= 10 u + 12 u + 7 u
= 29 u
29 u = 870
1 u = 870 ÷ 29 = 30
Amount that Victoria received more than Hannah
= 12 u - 7 u
= 5 u
= 5 x 30
= $150
Answer(s): $150