PSLELiam, Leah and Sophia shared $480. Leah received 50% more than Liam while Sophia received 30% less than Liam. How much more than Sophia did Leah receive?
Liam |
Leah |
Sophia |
Total |
100% |
150% |
|
|
100% |
|
70% |
|
10 u |
15 u |
7 u |
32 u |
Liam : Leah : Sophia
100 : 150 : 70
(÷10)10 : 15 : 7
Liam is the repeated identity.
Total amount that they shared
= 10 u + 15 u + 7 u
= 32 u
32 u = 480
1 u = 480 ÷ 32 = 15
Amount that Leah received more than Sophia
= 15 u - 7 u
= 8 u
= 8 x 15
= $120
Answer(s): $120