Zane, Vaidev and Cathy share a sum of money. Zane's share is half of what Vaidev and Cathy receive. Vaidev's share is
59 of the sum of money. Cathy receives $20 less than Vaidev.
- What fraction of the sum of money is Zane's share?
- How much is the sum of money?
Zane |
Cathy |
Vaidev |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Zane, Vaidev and Cathy had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Cathy's shareTotal amount =
19 (b)
Amount that Cathy had less than Vaidev
= 5 u - 1 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Total amount that Zane, Vaidev and Cathy had
= 9 u
= 9 x 5
= $45
Answer(s): (a)
19; (b) $45