If Adam gives 7 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 17 stickers to Adam, Adam has 5 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 |
3 u + 7 |
3 u - 7 |
5 u - 17 |
1 u + 17 |
Change |
- 7 |
+ 7 |
+ 17 |
- 17 |
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, Adam and Bryan 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 Bryan has at first in both scenarios is the same.
3 u - 7 = 1 u + 17
3 u - 1 u = 17 + 7
2 u = 24
1 u = 24 ÷ 2 = 12
Number of stickers that Adam has
= 3 u + 7
= 3 x 12 + 7
= 36 + 7
= 43
(b)
Number of stickers that Bryan has
= 1 u + 17
= 12 + 17
= 29
(c)
Total number of stickers
= 43 + 29
= 72
(d)
Number of stickers that Adam has more than Bryan
= 43 - 29
= 14
Answer(s): (a) 43; (b) 29; (c) 72; (d) 14