If Bryan gives 20 stickers to Adam, both will have the same number of stickers.
If Adam gives 16 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 + 20 |
4 u - 20 |
7 u - 16 |
1 u + 16 |
Change |
- 20 |
+ 20 |
+ 16 |
- 16 |
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 - 20 = 1 u + 16
4 u - 1 u = 16 + 20
3 u = 36
1 u = 36 ÷ 3 = 12
Number of stickers that Bryan has
= 4 u + 20
= 4 x 12 + 20
= 48 + 20
= 68
(b)
Number of stickers that Adam has
= 1 u + 16
= 12 + 16
= 28
(c)
Total number of stickers
= 68 + 28
= 96
(d)
Number of stickers that Bryan has more than Adam
= 68 - 28
= 40
Answer(s): (a) 68; (b) 28; (c) 96; (d) 40