Mark, Reggie and Raeann share a sum of money. Mark's share is half of what Reggie and Raeann receive. Reggie's share is
49 of the sum of money. Raeann receives $14 less than Reggie.
- What fraction of the sum of money is Mark's share?
- How much is the sum of money?
Mark |
Raeann |
Reggie |
Total |
1x3 |
2x3 |
3x3 |
5 |
4 |
9 |
3 u |
2 u |
4 u |
9 u |
(a)
The total amount that Mark, Reggie and Raeann had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Raeann's shareTotal amount =
29 (b)
Amount that Raeann had less than Reggie
= 4 u - 2 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Total amount that Mark, Reggie and Raeann had
= 9 u
= 9 x 7
= $63
Answer(s): (a)
29; (b) $63