Oscar had 120 more beads than Warren. Oscar gave 20% of his beads to Warren. Warren in return gave 50% of his beads to Oscar. In the end, Warren had 375 less beads than Oscar. How many beads did Oscar have at first?
| |
Oscar |
Warren |
Comparing Oscar
and Peter at first |
120 more |
|
| Before |
5 u + 120 |
5 u |
| Change 1 |
- 1 u - 24 |
+ 1 u + 24 |
| After 1 |
4 u + 96 |
6 u + 24 |
| Change 2 |
+ 3 u + 12 |
- 3 u - 12 |
| After 2 |
7 u + 108 |
3 u + 12 |
20% =
20100 =
1520% x 120
=
20100 x 120
= 24
50% x 24
=
50100 x 24
= 12
50% x 6 u
=
50100 x 6 u
= 3 u
Warren had 375 less beads than Oscar in the end. If another 375 beads are given to Warren, both will have the same number of beads.
7 u + 108 = 3 u + 12 + 375
7 u - 3 u = 12 + 375 - 108
4 u = 279
1 u = 279 ÷ 4 = 31
Number of Warren's beads at first
= 5 u
= 5 x 31
= 155
Answer: 155
