If Bryan gives 9 stickers to Adam, both will have the same number of stickers.
If Adam gives 15 stickers to Bryan, Bryan has 9 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 |
5 u + 9 |
5 u - 9 |
9 u - 15 |
1 u + 15 |
Change |
- 9 |
+ 9 |
+ 15 |
- 15 |
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, Bryan and Adam 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 Adam has at first in both scenarios is the same.
5 u - 9 = 1 u + 15
5 u - 1 u = 15 + 9
4 u = 24
1 u = 24 ÷ 4 = 6
Number of stickers that Bryan has
= 5 u + 9
= 5 x 6 + 9
= 30 + 9
= 39
(b)
Number of stickers that Adam has
= 1 u + 15
= 6 + 15
= 21
(c)
Total number of stickers
= 39 + 21
= 60
(d)
Number of stickers that Bryan has more than Adam
= 39 - 21
= 18
Answer(s): (a) 39; (b) 21; (c) 60; (d) 18