Nick, Archie and Zane had a total of 506 stickers at first. After a week, the number of Nick's stickers became 3 times the number of stickers he had at first. The number of Archie's stickers decreased by 346. Zane 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 Zane have at first?
- What was the total number of stickers that the three boys had in the end?
|
Nick |
Archie |
Zane |
Total |
Before |
1 u |
3 u + 346 |
6 u |
|
Change |
x 3 |
- 346 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of stickers at first
=
1 u + 3 u + 346 + 6 u
= 10 u + 346
10 u + 346 = 50610 u = 506 - 34610 u = 160
1 u = 160 ÷ 10 = 16 Number of stickers that Zane had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 16 = 96(b)Total number of stickers that the three boys had at the end = 9 u = 9 x 16 = 144 Answer(s): (a) 96; (b) 144