Tom, Peter and Wendy share a sum of money. Tom's share is half of what Peter and Wendy receive. Peter's share is
59 of the sum of money. Wendy receives $16 less than Peter.
- What fraction of the sum of money is Tom's share?
- How much is the sum of money?
Tom |
Wendy |
Peter |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Tom, Peter and Wendy had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Wendy's shareTotal amount =
19 (b)
Amount that Wendy had less than Peter
= 5 u - 1 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Total amount that Tom, Peter and Wendy had
= 9 u
= 9 x 4
= $36
Answer(s): (a)
19; (b) $36