John, Riordan and David had a total of 416 stickers at first. After a week, the number of John's stickers became 4 times the number of stickers he had at first. The number of Riordan's stickers decreased by 273. David 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 David have at first?
- What was the total number of stickers that the three boys had in the end?
|
John |
Riordan |
David |
Total |
Before |
1 u |
4 u + 273 |
8 u |
|
Change |
x 4 |
- 273 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of stickers at first
=
1 u + 4 u + 273 + 8 u
= 13 u + 273
13 u + 273 = 41613 u = 416 - 27313 u = 143
1 u = 143 ÷ 13 = 11 Number of stickers that David had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 11 = 88(b)Total number of stickers that the three boys had at the end = 12 u = 12 x 11 = 132 Answer(s): (a) 88; (b) 132