If Adam gives 14 stickers to Bryan, both will have the same number of stickers.
If Bryan gives 4 stickers to Adam, Adam has 7 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 |
4 u + 14 |
4 u - 14 |
7 u - 4 |
1 u + 4 |
Change |
- 14 |
+ 14 |
+ 4 |
- 4 |
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, Adam and Bryan 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 Bryan has at first in both scenarios is the same.
4 u - 14 = 1 u + 4
4 u - 1 u = 4 + 14
3 u = 18
1 u = 18 ÷ 3 = 6
Number of stickers that Adam has
= 4 u + 14
= 4 x 6 + 14
= 24 + 14
= 38
(b)
Number of stickers that Bryan has
= 1 u + 4
= 6 + 4
= 10
(c)
Total number of stickers
= 38 + 10
= 48
(d)
Number of stickers that Adam has more than Bryan
= 38 - 10
= 28
Answer(s): (a) 38; (b) 10; (c) 48; (d) 28