Rael, Ben and Gillian share a sum of money. Rael's share is half of what Ben and Gillian receive. Ben's share is
815 of the sum of money. Gillian receives $24 less than Ben.
- What fraction of the sum of money is Rael's share?
- How much is the sum of money?
Rael |
Gillian |
Ben |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Rael, Ben and Gillian had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Gillian's shareTotal amount =
215 (b)
Amount that Gillian had less than Ben
= 8 u - 2 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Total amount that Rael, Ben and Gillian had
= 15 u
= 15 x 4
= $60
Answer(s): (a)
215; (b) $60