If Bryan gives 13 stickers to Adam, both will have the same number of stickers.
If Adam gives 14 stickers to Bryan, Bryan has 7 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 |
4 u + 13 |
4 u - 13 |
7 u - 14 |
1 u + 14 |
Change |
- 13 |
+ 13 |
+ 14 |
- 14 |
After |
4 u |
4 u |
7 u |
1 u |
(a)
Total number of stickers in the end
= 7 u + 1 u
= 8 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
= 8 u ÷ 2
= 4 u
Number of stickers that Adam has at first in both scenarios is the same.
4 u - 13 = 1 u + 14
4 u - 1 u = 14 + 13
3 u = 27
1 u = 27 ÷ 3 = 9
Number of stickers that Bryan has
= 4 u + 13
= 4 x 9 + 13
= 36 + 13
= 49
(b)
Number of stickers that Adam has
= 1 u + 14
= 9 + 14
= 23
(c)
Total number of stickers
= 49 + 23
= 72
(d)
Number of stickers that Bryan has more than Adam
= 49 - 23
= 26
Answer(s): (a) 49; (b) 23; (c) 72; (d) 26