Zane, Henry and Gabriel had a total of 490 stickers at first. After a week, the number of Zane's stickers became 3 times the number of stickers he had at first. The number of Henry's stickers decreased by 320. Gabriel 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 Gabriel have at first?
- What was the total number of stickers that the three boys had in the end?
|
Zane |
Henry |
Gabriel |
Total |
Before |
1 u |
3 u + 320 |
6 u |
|
Change |
x 3 |
- 320 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of stickers at first
=
1 u + 3 u + 320 + 6 u
= 10 u + 320
10 u + 320 = 49010 u = 490 - 32010 u = 170
1 u = 170 ÷ 10 = 17 Number of stickers that Gabriel 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