Vaidev had 80 more coins than Harry. Vaidev gave 20% of his coins to Harry. Harry in return gave 50% of his coins to Vaidev. In the end, Harry had 219 less coins than Vaidev. How many coins did Vaidev have at first?
| |
Vaidev |
Harry |
Comparing Vaidev
and Peter at first |
80 more |
|
| Before |
5 u + 80 |
5 u |
| Change 1 |
- 1 u - 16 |
+ 1 u + 16 |
| After 1 |
4 u + 64 |
6 u + 16 |
| Change 2 |
+ 3 u + 8 |
- 3 u - 8 |
| After 2 |
7 u + 72 |
3 u + 8 |
20% =
20100 =
1520% x 80
=
20100 x 80
= 16
50% x 16
=
50100 x 16
= 8
50% x 6 u
=
50100 x 6 u
= 3 u
Harry had 219 less coins than Vaidev in the end. If another 219 coins are given to Harry, both will have the same number of coins.
7 u + 72 = 3 u + 8 + 219
7 u - 3 u = 8 + 219 - 72
4 u = 155
1 u = 155 ÷ 4 = 31
Number of Harry's coins at first
= 5 u
= 5 x 31
= 155
Answer: 155
