Billy, Ken and Julian had a total of 483 stickers at first. After a week, the number of Billy's stickers became 3 times the number of stickers he had at first. The number of Ken's stickers decreased by 313. Julian 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 Julian have at first?
- What was the total number of stickers that the three boys had in the end?
|
Billy |
Ken |
Julian |
Total |
Before |
1 u |
3 u + 313 |
6 u |
|
Change |
x 3 |
- 313 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of stickers at first
=
1 u + 3 u + 313 + 6 u
= 10 u + 313
10 u + 313 = 48310 u = 483 - 31310 u = 170
1 u = 170 ÷ 10 = 17 Number of stickers that Julian had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 17 = 102(b)Total number of stickers that the three boys had at the end = 9 u = 9 x 17 = 153 Answer(s): (a) 102; (b) 153