David, Gabriel and Gem share a sum of money. David's share is half of what Gabriel and Gem receive. Gabriel's share is
715 of the sum of money. Gem receives $20 less than David.
- What fraction of the sum of money is David's share?
- How much is the sum of money?
David |
Gem |
Gabriel |
Total |
1x5 |
2x5 |
3x5 |
8 |
7 |
15 |
5 u |
3 u |
7 u |
15 u |
(a)
The total amount that David, Gabriel and Gem had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
David's shareTotal amount =
515 =
13 (b)
Amount that Gem had less than David
= 5 u - 3 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total amount that David, Gabriel and Gem had
= 15 u
= 15 x 10
= $150
Answer(s): (a)
13; (b) $150