Justin, Ben and Olivia share a sum of money. Justin's share is half of what Ben and Olivia receive. Ben's share is
715 of the sum of money. Olivia receives $8 less than Justin.
- What fraction of the sum of money is Justin's share?
- How much is the sum of money?
Justin |
Olivia |
Ben |
Total |
1x5 |
2x5 |
3x5 |
8 |
7 |
15 |
5 u |
3 u |
7 u |
15 u |
(a)
The total amount that Justin, Ben and Olivia had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Justin's shareTotal amount =
515 =
13 (b)
Amount that Olivia had less than Justin
= 5 u - 3 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Total amount that Justin, Ben and Olivia had
= 15 u
= 15 x 4
= $60
Answer(s): (a)
13; (b) $60