Neave, Luke and Xandra share a sum of money. Neave's share is half of what Luke and Xandra receive. Luke's share is
815 of the sum of money. Xandra receives $18 less than Luke.
- What fraction of the sum of money is Neave's share?
- How much is the sum of money?
Neave |
Xandra |
Luke |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Neave, Luke and Xandra had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Xandra's shareTotal amount =
215 (b)
Amount that Xandra had less than Luke
= 8 u - 2 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
Total amount that Neave, Luke and Xandra had
= 15 u
= 15 x 3
= $45
Answer(s): (a)
215; (b) $45