John, Paul and Wendy share a sum of money. John's share is half of what Paul and Wendy receive. Paul's share is
59 of the sum of money. Wendy receives $4 less than John.
- What fraction of the sum of money is John's share?
- How much is the sum of money?
John |
Wendy |
Paul |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that John, Paul and Wendy had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
John's shareTotal amount =
39 =
13 (b)
Amount that Wendy had less than John
= 3 u - 1 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Total amount that John, Paul and Wendy had
= 9 u
= 9 x 2
= $18
Answer(s): (a)
13; (b) $18