Perry, Fabian and Charlie had a total of 460 stickers at first. After a week, the number of Perry's stickers became 5 times the number of stickers he had at first. The number of Fabian's stickers decreased by 268. Charlie had half as many stickers as he had at first. In the end, the three boys had the same number of stickers.
- How many stickers did Charlie have at first?
- What was the total number of stickers that the three boys had in the end?
|
Perry |
Fabian |
Charlie |
Total |
Before |
1 u |
5 u + 268 |
10 u |
|
Change |
x 5 |
- 268 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of stickers at first
=
1 u + 5 u + 268 + 10 u
= 16 u + 268
16 u + 268 = 46016 u = 460 - 26816 u = 192
1 u = 192 ÷ 16 = 12 Number of stickers that Charlie had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 12 = 120(b)Total number of stickers that the three boys had at the end = 15 u = 15 x 12 = 180 Answer(s): (a) 120; (b) 180