Seth, Lee and Gem share a sum of money. Seth's share is half of what Lee and Gem receive. Lee's share is
712 of the sum of money. Gem receives $48 less than Lee.
- What fraction of the sum of money is Seth's share?
- How much is the sum of money?
Seth |
Gem |
Lee |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Seth, Lee and Gem had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Gem's shareTotal amount =
112 (b)
Amount that Gem had less than Lee
= 7 u - 1 u
= 6 u
6 u = 48
1 u = 48 ÷ 6 = 8
Total amount that Seth, Lee and Gem had
= 12 u
= 12 x 8
= $96
Answer(s): (a)
112; (b) $96