Justin, Luke and Tina share a sum of money. Justin's share is half of what Luke and Tina receive. Luke's share is
59 of the sum of money. Tina receives $40 less than Luke.
- What fraction of the sum of money is Justin's share?
- How much is the sum of money?
Justin |
Tina |
Luke |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Justin, Luke and Tina had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Tina's shareTotal amount =
19 (b)
Amount that Tina had less than Luke
= 5 u - 1 u
= 4 u
4 u = 40
1 u = 40 ÷ 4 = 10
Total amount that Justin, Luke and Tina had
= 9 u
= 9 x 10
= $90
Answer(s): (a)
19; (b) $90