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