Billy had 80 more stickers than Bobby. Billy gave 25% of his stickers to Bobby. Bobby in return gave 60% of his stickers to Billy. In the end, Bobby had 214 less stickers than Billy. How many stickers did Billy have at first?
| |
Billy |
Bobby |
Comparing Billy
and Peter at first |
80 more |
|
| Before |
4 u + 80 |
4 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
3 u + 60 |
5 u + 20 |
| Change 2 |
+ 3 u + 12 |
- 3 u - 12 |
| After 2 |
6 u + 72 |
2 u + 8 |
25% =
25100 =
1425% x 80
=
25100 x 80
= 20
60% x 20
=
60100 x 20
= 12
60% x 5 u
=
60100 x 5 u
= 3 u
Bobby had 214 less stickers than Billy in the end. If another 214 stickers are given to Bobby, both will have the same number of stickers.
6 u + 72 = 2 u + 8 + 214
6 u - 2 u = 8 + 214 - 72
4 u = 150
1 u = 150 ÷ 4 = 25
Number of Bobby's stickers at first
= 4 u
= 4 x 25
= 100
Answer: 100
