If Bryan gives 7 stickers to Adam, both will have the same number of stickers.
If Adam gives 17 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 + 7 |
4 u - 7 |
7 u - 17 |
1 u + 17 |
Change |
- 7 |
+ 7 |
+ 17 |
- 17 |
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 - 7 = 1 u + 17
4 u - 1 u = 17 + 7
3 u = 24
1 u = 24 ÷ 3 = 8
Number of stickers that Bryan has
= 4 u + 7
= 4 x 8 + 7
= 32 + 7
= 39
(b)
Number of stickers that Adam has
= 1 u + 17
= 8 + 17
= 25
(c)
Total number of stickers
= 39 + 25
= 64
(d)
Number of stickers that Bryan has more than Adam
= 39 - 25
= 14
Answer(s): (a) 39; (b) 25; (c) 64; (d) 14