PSLEGabriel, Noah and Jacob shared $800. Noah received 50% more than Gabriel while Jacob received 30% less than Gabriel. How much more than Jacob did Noah receive?
Gabriel |
Noah |
Jacob |
Total |
100% |
150% |
|
|
100% |
|
70% |
|
10 u |
15 u |
7 u |
32 u |
Gabriel : Noah : Jacob
100 : 150 : 70
(÷10)10 : 15 : 7
Gabriel is the repeated identity.
Total amount that they shared
= 10 u + 15 u + 7 u
= 32 u
32 u = 800
1 u = 800 ÷ 32 = 25
Amount that Noah received more than Jacob
= 15 u - 7 u
= 8 u
= 8 x 25
= $200
Answer(s): $200