Vincent, Xavier and Eva share a sum of money. Vincent's share is half of what Xavier and Eva receive. Xavier's share is
712 of the sum of money. Eva receives $12 less than Xavier.
- What fraction of the sum of money is Vincent's share?
- How much is the sum of money?
Vincent |
Eva |
Xavier |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Vincent, Xavier and Eva had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Eva's shareTotal amount =
112 (b)
Amount that Eva had less than Xavier
= 7 u - 1 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Total amount that Vincent, Xavier and Eva had
= 12 u
= 12 x 2
= $24
Answer(s): (a)
112; (b) $24