Peter, Jenson and Xuan share a sum of money. Peter's share is half of what Jenson and Xuan receive. Jenson's share is
59 of the sum of money. Xuan receives $36 less than Jenson.
- What fraction of the sum of money is Peter's share?
- How much is the sum of money?
Peter |
Xuan |
Jenson |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Peter, Jenson and Xuan had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Xuan's shareTotal amount =
19 (b)
Amount that Xuan had less than Jenson
= 5 u - 1 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Total amount that Peter, Jenson and Xuan had
= 9 u
= 9 x 9
= $81
Answer(s): (a)
19; (b) $81