Luis, Vincent and Raeann share a sum of money. Luis's share is half of what Vincent and Raeann receive. Vincent's share is
59 of the sum of money. Raeann receives $32 less than Vincent.
- What fraction of the sum of money is Luis's share?
- How much is the sum of money?
Luis |
Raeann |
Vincent |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Luis, Vincent and Raeann had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Raeann's shareTotal amount =
19 (b)
Amount that Raeann had less than Vincent
= 5 u - 1 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total amount that Luis, Vincent and Raeann had
= 9 u
= 9 x 8
= $72
Answer(s): (a)
19; (b) $72