Rael, Vincent and Dana share a sum of money. Rael's share is half of what Vincent and Dana receive. Vincent's share is
815 of the sum of money. Dana receives $30 less than Rael.
- What fraction of the sum of money is Rael's share?
- How much is the sum of money?
Rael |
Dana |
Vincent |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Rael, Vincent and Dana had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Rael's shareTotal amount =
515 =
13 (b)
Amount that Dana had less than Rael
= 5 u - 2 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total amount that Rael, Vincent and Dana had
= 15 u
= 15 x 10
= $150
Answer(s): (a)
13; (b) $150