If Adam gives 16 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 20 stickers to Adam, Adam has 9 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 |
5 u + 16 |
5 u - 16 |
9 u - 20 |
1 u + 20 |
Change |
- 16 |
+ 16 |
+ 20 |
- 20 |
After |
5 u |
5 u |
9 u |
1 u |
(a)
Total number of stickers in the end
= 9 u + 1 u
= 10 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
= 10 u ÷ 2
= 5 u
Number of stickers that Bryan has at first in both scenarios is the same.
5 u - 16 = 1 u + 20
5 u - 1 u = 20 + 16
4 u = 36
1 u = 36 ÷ 4 = 9
Number of stickers that Adam has
= 5 u + 16
= 5 x 9 + 16
= 45 + 16
= 61
(b)
Number of stickers that Bryan has
= 1 u + 20
= 9 + 20
= 29
(c)
Total number of stickers
= 61 + 29
= 90
(d)
Number of stickers that Adam has more than Bryan
= 61 - 29
= 32
Answer(s): (a) 61; (b) 29; (c) 90; (d) 32