Sean had 190 more marbles than Harry. Sean gave 20% of his marbles to Harry. Harry in return gave 50% of his marbles to Sean. In the end, Harry had 584 less marbles than Sean. How many marbles did Sean have at first?
| |
Sean |
Harry |
Comparing Sean
and Peter at first |
190 more |
|
| Before |
5 u + 190 |
5 u |
| Change 1 |
- 1 u - 38 |
+ 1 u + 38 |
| After 1 |
4 u + 152 |
6 u + 38 |
| Change 2 |
+ 3 u + 19 |
- 3 u - 19 |
| After 2 |
7 u + 171 |
3 u + 19 |
20% =
20100 =
1520% x 190
=
20100 x 190
= 38
50% x 38
=
50100 x 38
= 19
50% x 6 u
=
50100 x 6 u
= 3 u
Harry had 584 less marbles than Sean in the end. If another 584 marbles are given to Harry, both will have the same number of marbles.
7 u + 171 = 3 u + 19 + 584
7 u - 3 u = 19 + 584 - 171
4 u = 432
1 u = 432 ÷ 4 = 27
Number of Harry's marbles at first
= 5 u
= 5 x 27
= 135
Answer: 135
