If Adam gives 10 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 6 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 + 10 |
5 u - 10 |
9 u - 6 |
1 u + 6 |
Change |
- 10 |
+ 10 |
+ 6 |
- 6 |
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 - 10 = 1 u + 6
5 u - 1 u = 6 + 10
4 u = 16
1 u = 16 ÷ 4 = 4
Number of stickers that Adam has
= 5 u + 10
= 5 x 4 + 10
= 20 + 10
= 30
(b)
Number of stickers that Bryan has
= 1 u + 6
= 4 + 6
= 10
(c)
Total number of stickers
= 30 + 10
= 40
(d)
Number of stickers that Adam has more than Bryan
= 30 - 10
= 20
Answer(s): (a) 30; (b) 10; (c) 40; (d) 20