Owen, Ryan and Dana share a sum of money. Owen's share is half of what Ryan and Dana receive. Ryan's share is
59 of the sum of money. Dana receives $24 less than Ryan.
- What fraction of the sum of money is Owen's share?
- How much is the sum of money?
Owen |
Dana |
Ryan |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Owen, Ryan and Dana had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Dana's shareTotal amount =
19 (b)
Amount that Dana had less than Ryan
= 5 u - 1 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total amount that Owen, Ryan and Dana had
= 9 u
= 9 x 6
= $54
Answer(s): (a)
19; (b) $54