If Bryan gives 20 stickers to Adam, both will have the same number of stickers.
If Adam gives 18 stickers to Bryan, Bryan has 5 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 |
3 u + 20 |
3 u - 20 |
5 u - 18 |
1 u + 18 |
Change |
- 20 |
+ 20 |
+ 18 |
- 18 |
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, Bryan and Adam 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 Adam has at first in both scenarios is the same.
3 u - 20 = 1 u + 18
3 u - 1 u = 18 + 20
2 u = 38
1 u = 38 ÷ 2 = 19
Number of stickers that Bryan has
= 3 u + 20
= 3 x 19 + 20
= 57 + 20
= 77
(b)
Number of stickers that Adam has
= 1 u + 18
= 19 + 18
= 37
(c)
Total number of stickers
= 77 + 37
= 114
(d)
Number of stickers that Bryan has more than Adam
= 77 - 37
= 40
Answer(s): (a) 77; (b) 37; (c) 114; (d) 40