Billy, Michael and Hazel share a sum of money. Billy's share is half of what Michael and Hazel receive. Michael's share is
815 of the sum of money. Hazel receives $21 less than Billy.
- What fraction of the sum of money is Billy's share?
- How much is the sum of money?
Billy |
Hazel |
Michael |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Billy, Michael and Hazel had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Billy's shareTotal amount =
515 =
13 (b)
Amount that Hazel had less than Billy
= 5 u - 2 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Total amount that Billy, Michael and Hazel had
= 15 u
= 15 x 7
= $105
Answer(s): (a)
13; (b) $105