If Adam gives 20 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 14 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 + 20 |
3 u - 20 |
5 u - 14 |
1 u + 14 |
Change |
- 20 |
+ 20 |
+ 14 |
- 14 |
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 - 20 = 1 u + 14
3 u - 1 u = 14 + 20
2 u = 34
1 u = 34 ÷ 2 = 17
Number of stickers that Adam has
= 3 u + 20
= 3 x 17 + 20
= 51 + 20
= 71
(b)
Number of stickers that Bryan has
= 1 u + 14
= 17 + 14
= 31
(c)
Total number of stickers
= 71 + 31
= 102
(d)
Number of stickers that Adam has more than Bryan
= 71 - 31
= 40
Answer(s): (a) 71; (b) 31; (c) 102; (d) 40