PSLENoah, Hazel and Rachel shared $810. Hazel received 20% more than Noah while Rachel received 50% less than Noah. How much more than Rachel did Hazel receive?
Noah |
Hazel |
Rachel |
Total |
100% |
120% |
|
|
100% |
|
50% |
|
10 u |
12 u |
5 u |
27 u |
Noah : Hazel : Rachel
100 : 120 : 50
(÷10)10 : 12 : 5
Noah is the repeated identity.
Total amount that they shared
= 10 u + 12 u + 5 u
= 27 u
27 u = 810
1 u = 810 ÷ 27 = 30
Amount that Hazel received more than Rachel
= 12 u - 5 u
= 7 u
= 7 x 30
= $210
Answer(s): $210