Seth, Vincent and Jean share a sum of money. Seth's share is half of what Vincent and Jean receive. Vincent's share is
712 of the sum of money. Jean receives $24 less than Seth.
- What fraction of the sum of money is Seth's share?
- How much is the sum of money?
Seth |
Jean |
Vincent |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Seth, Vincent and Jean had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Seth's shareTotal amount =
412 =
13 (b)
Amount that Jean had less than Seth
= 4 u - 1 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total amount that Seth, Vincent and Jean had
= 12 u
= 12 x 8
= $96
Answer(s): (a)
13; (b) $96