If Bryan gives 9 stickers to Adam, both will have the same number of stickers.
If Adam gives 12 stickers to Bryan, Bryan has 7 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 |
4 u + 9 |
4 u - 9 |
7 u - 12 |
1 u + 12 |
Change |
- 9 |
+ 9 |
+ 12 |
- 12 |
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, Bryan and Adam 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 Adam has at first in both scenarios is the same.
4 u - 9 = 1 u + 12
4 u - 1 u = 12 + 9
3 u = 21
1 u = 21 ÷ 3 = 7
Number of stickers that Bryan has
= 4 u + 9
= 4 x 7 + 9
= 28 + 9
= 37
(b)
Number of stickers that Adam has
= 1 u + 12
= 7 + 12
= 19
(c)
Total number of stickers
= 37 + 19
= 56
(d)
Number of stickers that Bryan has more than Adam
= 37 - 19
= 18
Answer(s): (a) 37; (b) 19; (c) 56; (d) 18