Ahmad, Sean and Jane share a sum of money. Ahmad's share is half of what Sean and Jane receive. Sean's share is
59 of the sum of money. Jane receives $44 less than Sean.
- What fraction of the sum of money is Ahmad's share?
- How much is the sum of money?
Ahmad |
Jane |
Sean |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Ahmad, Sean and Jane had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Jane's shareTotal amount =
19 (b)
Amount that Jane had less than Sean
= 5 u - 1 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Total amount that Ahmad, Sean and Jane had
= 9 u
= 9 x 11
= $99
Answer(s): (a)
19; (b) $99