If Bryan gives 5 stickers to Adam, both will have the same number of stickers.
If Adam gives 9 stickers to Bryan, Bryan has 5 times as many as Adam.
- How many stickers does Bryan have?
- How many stickers does Adam have?
- How many stickers do Bryan and Adam have altogether?
- How many stickers does Bryan have more than Adam?
|
Case 1 |
Case 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
3 u + 5 |
3 u - 5 |
5 u - 9 |
1 u + 9 |
Change |
- 5 |
+ 5 |
+ 9 |
- 9 |
After |
3 u |
3 u |
5 u |
1 u |
(a)
Total number of stickers in the end
= 5 u + 1 u
= 6 u
For scenario 1, Bryan and Adam have same number of stickers in the end.
Number of stickers that each boy has in the end
= 6 u ÷ 2
= 3 u
Number of stickers that Adam has at first in both scenarios is the same.
3 u - 5 = 1 u + 9
3 u - 1 u = 9 + 5
2 u = 14
1 u = 14 ÷ 2 = 7
Number of stickers that Bryan has
= 3 u + 5
= 3 x 7 + 5
= 21 + 5
= 26
(b)
Number of stickers that Adam has
= 1 u + 9
= 7 + 9
= 16
(c)
Total number of stickers
= 26 + 16
= 42
(d)
Number of stickers that Bryan has more than Adam
= 26 - 16
= 10
Answer(s): (a) 26; (b) 16; (c) 42; (d) 10