Peter, Luke and Roshel share a sum of money. Peter's share is half of what Luke and Roshel receive. Luke's share is
49 of the sum of money. Roshel receives $4 less than Luke.
- What fraction of the sum of money is Peter's share?
- How much is the sum of money?
Peter |
Roshel |
Luke |
Total |
1x3 |
2x3 |
3x3 |
5 |
4 |
9 |
3 u |
2 u |
4 u |
9 u |
(a)
The total amount that Peter, Luke and Roshel had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Roshel's shareTotal amount =
29 (b)
Amount that Roshel had less than Luke
= 4 u - 2 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Total amount that Peter, Luke and Roshel had
= 9 u
= 9 x 2
= $18
Answer(s): (a)
29; (b) $18