PSLELuke, Raeann and Samantha shared $810. Raeann received 20% more than Luke while Samantha received 50% less than Luke. How much more than Samantha did Raeann receive?
Luke |
Raeann |
Samantha |
Total |
100% |
120% |
|
|
100% |
|
50% |
|
10 u |
12 u |
5 u |
27 u |
Luke : Raeann : Samantha
100 : 120 : 50
(÷10)10 : 12 : 5
Luke 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 Raeann received more than Samantha
= 12 u - 5 u
= 7 u
= 7 x 30
= $210
Answer(s): $210