David, Elijah and Barbara share a sum of money. David's share is half of what Elijah and Barbara receive. Elijah's share is
815 of the sum of money. Barbara receives $72 less than Elijah.
- What fraction of the sum of money is David's share?
- How much is the sum of money?
David |
Barbara |
Elijah |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that David, Elijah and Barbara had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Barbara's shareTotal amount =
215 (b)
Amount that Barbara had less than Elijah
= 8 u - 2 u
= 6 u
6 u = 72
1 u = 72 ÷ 6 = 12
Total amount that David, Elijah and Barbara had
= 15 u
= 15 x 12
= $180
Answer(s): (a)
215; (b) $180