If Adam gives 13 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 17 stickers to Adam, Adam has 5 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 |
3 u + 13 |
3 u - 13 |
5 u - 17 |
1 u + 17 |
Change |
- 13 |
+ 13 |
+ 17 |
- 17 |
After |
3 u |
3 u |
5 u |
1 u |
(a)
Total number of stickers in the end
= 5 u + 1 u
= 6 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
= 6 u ÷ 2
= 3 u
Number of stickers that Bryan has at first in both scenarios is the same.
3 u - 13 = 1 u + 17
3 u - 1 u = 17 + 13
2 u = 30
1 u = 30 ÷ 2 = 15
Number of stickers that Adam has
= 3 u + 13
= 3 x 15 + 13
= 45 + 13
= 58
(b)
Number of stickers that Bryan has
= 1 u + 17
= 15 + 17
= 32
(c)
Total number of stickers
= 58 + 32
= 90
(d)
Number of stickers that Adam has more than Bryan
= 58 - 32
= 26
Answer(s): (a) 58; (b) 32; (c) 90; (d) 26