If Bryan gives 19 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 + 19 |
4 u - 19 |
7 u - 17 |
1 u + 17 |
Change |
- 19 |
+ 19 |
+ 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 - 19 = 1 u + 17
4 u - 1 u = 17 + 19
3 u = 36
1 u = 36 ÷ 3 = 12
Number of stickers that Bryan has
= 4 u + 19
= 4 x 12 + 19
= 48 + 19
= 67
(b)
Number of stickers that Adam has
= 1 u + 17
= 12 + 17
= 29
(c)
Total number of stickers
= 67 + 29
= 96
(d)
Number of stickers that Bryan has more than Adam
= 67 - 29
= 38
Answer(s): (a) 67; (b) 29; (c) 96; (d) 38