Billy, Dylan and Gillian share a sum of money. Billy's share is half of what Dylan and Gillian receive. Dylan's share is
59 of the sum of money. Gillian receives $10 less than Billy.
- What fraction of the sum of money is Billy's share?
- How much is the sum of money?
Billy |
Gillian |
Dylan |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Billy, Dylan and Gillian had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Billy's shareTotal amount =
39 =
13 (b)
Amount that Gillian had less than Billy
= 3 u - 1 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Total amount that Billy, Dylan and Gillian had
= 9 u
= 9 x 5
= $45
Answer(s): (a)
13; (b) $45