If Adam gives 8 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 19 stickers to Adam, Adam has 7 times as many as Bryan.
- How many stickers does Adam have?
- How many stickers does Bryan have?
- How many stickers do Adam and Bryan have altogether?
- How many stickers does Adam have more than Bryan?
|
Case 1 |
Case 2 |
|
Adam |
Bryan |
Adam |
Bryan |
Before |
4 u + 8 |
4 u - 8 |
7 u - 19 |
1 u + 19 |
Change |
- 8 |
+ 8 |
+ 19 |
- 19 |
After |
4 u |
4 u |
7 u |
1 u |
(a)
Total number of stickers in the end
= 7 u + 1 u
= 8 u
For scenario 1, Adam and Bryan have same number of stickers in the end.
Number of stickers that each boy has in the end
= 8 u ÷ 2
= 4 u
Number of stickers that Bryan has at first in both scenarios is the same.
4 u - 8 = 1 u + 19
4 u - 1 u = 19 + 8
3 u = 27
1 u = 27 ÷ 3 = 9
Number of stickers that Adam has
= 4 u + 8
= 4 x 9 + 8
= 36 + 8
= 44
(b)
Number of stickers that Bryan has
= 1 u + 19
= 9 + 19
= 28
(c)
Total number of stickers
= 44 + 28
= 72
(d)
Number of stickers that Adam has more than Bryan
= 44 - 28
= 16
Answer(s): (a) 44; (b) 28; (c) 72; (d) 16