Oliver, Xavier and Jen share a sum of money. Oliver's share is half of what Xavier and Jen receive. Xavier's share is
815 of the sum of money. Jen receives $12 less than Xavier.
- What fraction of the sum of money is Oliver's share?
- How much is the sum of money?
Oliver |
Jen |
Xavier |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Oliver, Xavier and Jen had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Jen's shareTotal amount =
215 (b)
Amount that Jen had less than Xavier
= 8 u - 2 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Total amount that Oliver, Xavier and Jen had
= 15 u
= 15 x 2
= $30
Answer(s): (a)
215; (b) $30