If Adam gives 9 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 19 stickers to Adam, Adam has 9 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 |
5 u + 9 |
5 u - 9 |
9 u - 19 |
1 u + 19 |
Change |
- 9 |
+ 9 |
+ 19 |
- 19 |
After |
5 u |
5 u |
9 u |
1 u |
(a)
Total number of stickers in the end
= 9 u + 1 u
= 10 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
= 10 u ÷ 2
= 5 u
Number of stickers that Bryan has at first in both scenarios is the same.
5 u - 9 = 1 u + 19
5 u - 1 u = 19 + 9
4 u = 28
1 u = 28 ÷ 4 = 7
Number of stickers that Adam has
= 5 u + 9
= 5 x 7 + 9
= 35 + 9
= 44
(b)
Number of stickers that Bryan has
= 1 u + 19
= 7 + 19
= 26
(c)
Total number of stickers
= 44 + 26
= 70
(d)
Number of stickers that Adam has more than Bryan
= 44 - 26
= 18
Answer(s): (a) 44; (b) 26; (c) 70; (d) 18