Owen, Howard and Hazel share a sum of money. Owen's share is half of what Howard and Hazel receive. Howard's share is
815 of the sum of money. Hazel receives $9 less than Owen.
- What fraction of the sum of money is Owen's share?
- How much is the sum of money?
Owen |
Hazel |
Howard |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Owen, Howard and Hazel had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Owen's shareTotal amount =
515 =
13 (b)
Amount that Hazel had less than Owen
= 5 u - 2 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total amount that Owen, Howard and Hazel had
= 15 u
= 15 x 3
= $45
Answer(s): (a)
13; (b) $45