Andy, Tommy and Gabriel had a total of 582 stickers at first. After a week, the number of Andy's stickers became 5 times the number of stickers he had at first. The number of Tommy's stickers decreased by 36. Gabriel 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 Gabriel have at first?
- What was the total number of stickers that the three boys had in the end?
|
Andy |
Tommy |
Gabriel |
Total |
Before |
1 u |
5 u + 36 |
20 u |
|
Change |
x 5 |
- 36 |
x 14 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of stickers at first
=
1 u + 5 u + 36 + 20 u
= 26 u + 36
26 u + 36 = 58226 u = 582 - 3626 u = 546
1 u = 546 ÷ 26 = 21 Number of stickers that Gabriel had at first
= 5 u ÷
14= 5 u x
41= 20 u = 20 x 21 = 420(b)Total number of stickers that the three boys had at the end = 15 u = 15 x 21 = 315 Answer(s): (a) 420; (b) 315