If Adam gives 10 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 20 stickers to Adam, Adam has 11 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 |
6 u + 10 |
6 u - 10 |
11 u - 20 |
1 u + 20 |
Change |
- 10 |
+ 10 |
+ 20 |
- 20 |
After |
6 u |
6 u |
11 u |
1 u |
(a)
Total number of stickers in the end
= 11 u + 1 u
= 12 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
= 12 u ÷ 2
= 6 u
Number of stickers that Bryan has at first in both scenarios is the same.
6 u - 10 = 1 u + 20
6 u - 1 u = 20 + 10
5 u = 30
1 u = 30 ÷ 5 = 6
Number of stickers that Adam has
= 6 u + 10
= 6 x 6 + 10
= 36 + 10
= 46
(b)
Number of stickers that Bryan has
= 1 u + 20
= 6 + 20
= 26
(c)
Total number of stickers
= 46 + 26
= 72
(d)
Number of stickers that Adam has more than Bryan
= 46 - 26
= 20
Answer(s): (a) 46; (b) 26; (c) 72; (d) 20