PSLEHannah, Matthew and Raeann shared $580. Matthew received 20% more than Hannah while Raeann received 30% less than Hannah. How much more than Raeann did Matthew receive?
Hannah |
Matthew |
Raeann |
Total |
100% |
120% |
|
|
100% |
|
70% |
|
10 u |
12 u |
7 u |
29 u |
Hannah : Matthew : Raeann
100 : 120 : 70
(÷10)10 : 12 : 7
Hannah is the repeated identity.
Total amount that they shared
= 10 u + 12 u + 7 u
= 29 u
29 u = 580
1 u = 580 ÷ 29 = 20
Amount that Matthew received more than Raeann
= 12 u - 7 u
= 5 u
= 5 x 20
= $100
Answer(s): $100