Dylan, Fred and Vanessa share a sum of money. Dylan's share is half of what Fred and Vanessa receive. Fred's share is
715 of the sum of money. Vanessa receives $24 less than Dylan.
- What fraction of the sum of money is Dylan's share?
- How much is the sum of money?
Dylan |
Vanessa |
Fred |
Total |
1x5 |
2x5 |
3x5 |
8 |
7 |
15 |
5 u |
3 u |
7 u |
15 u |
(a)
The total amount that Dylan, Fred and Vanessa had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Dylan's shareTotal amount =
515 =
13 (b)
Amount that Vanessa had less than Dylan
= 5 u - 3 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Total amount that Dylan, Fred and Vanessa had
= 15 u
= 15 x 12
= $180
Answer(s): (a)
13; (b) $180