If Adam gives 12 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 12 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 + 12 |
5 u - 12 |
9 u - 12 |
1 u + 12 |
Change |
- 12 |
+ 12 |
+ 12 |
- 12 |
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 - 12 = 1 u + 12
5 u - 1 u = 12 + 12
4 u = 24
1 u = 24 ÷ 4 = 6
Number of stickers that Adam has
= 5 u + 12
= 5 x 6 + 12
= 30 + 12
= 42
(b)
Number of stickers that Bryan has
= 1 u + 12
= 6 + 12
= 18
(c)
Total number of stickers
= 42 + 18
= 60
(d)
Number of stickers that Adam has more than Bryan
= 42 - 18
= 24
Answer(s): (a) 42; (b) 18; (c) 60; (d) 24