Peter, Valen and Linda share a sum of money. Peter's share is half of what Valen and Linda receive. Valen's share is
712 of the sum of money. Linda receives $72 less than Valen.
- What fraction of the sum of money is Peter's share?
- How much is the sum of money?
Peter |
Linda |
Valen |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Peter, Valen and Linda had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Linda's shareTotal amount =
112 (b)
Amount that Linda had less than Valen
= 7 u - 1 u
= 6 u
6 u = 72
1 u = 72 ÷ 6 = 12
Total amount that Peter, Valen and Linda had
= 12 u
= 12 x 12
= $144
Answer(s): (a)
112; (b) $144