Ken, Vincent and Zoe share a sum of money. Ken's share is half of what Vincent and Zoe receive. Vincent's share is
815 of the sum of money. Zoe receives $30 less than Vincent.
- What fraction of the sum of money is Ken's share?
- How much is the sum of money?
Ken |
Zoe |
Vincent |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Ken, Vincent and Zoe had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Zoe's shareTotal amount =
215 (b)
Amount that Zoe had less than Vincent
= 8 u - 2 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Total amount that Ken, Vincent and Zoe had
= 15 u
= 15 x 5
= $75
Answer(s): (a)
215; (b) $75