Liam, Reggie and Archie had a total of 449 stickers at first. After a week, the number of Liam's stickers became 4 times the number of stickers he had at first. The number of Reggie's stickers decreased by 29. Archie had one-quarter as many stickers as he had at first. In the end, the three boys had the same number of stickers.
- How many stickers did Archie have at first?
- What was the total number of stickers that the three boys had in the end?
|
Liam |
Reggie |
Archie |
Total |
Before |
1 u |
4 u + 29 |
16 u |
|
Change |
x 4 |
- 29 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stickers at first
=
1 u + 4 u + 29 + 16 u
= 21 u + 29
21 u + 29 = 44921 u = 449 - 2921 u = 420
1 u = 420 ÷ 21 = 20 Number of stickers that Archie had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 20 = 320(b)Total number of stickers that the three boys had at the end = 12 u = 12 x 20 = 240 Answer(s): (a) 320; (b) 240