Adam has 500 stickers more than Bryan.
Adam gives Bryan 100 stickers.
Now, Adam has 3 times as many stickers as Bryan.
- How many stickers does Adam have in the end?
- How many stickers does Bryan have in the end?
|
Adam |
Bryan |
Before |
3 u + 100 |
1 u - 100 |
Change |
- 100 |
+ 100 |
After |
3 u |
1 u |
(a)
At first
Number of stickers that Adam has = 3 u + 100
Number of stickers that Bryan has = 1 u - 100
In the end
Number of stickers that Adam has = 3 u
Number of stickers that Bryan has = 1 u
If the number of stickers that Bryan has at first increases by 500, he will have as many stickers as Adam at first.
3 u + 100 = 1 u - 100 + 500
3 u + 100 = 1 u + 400
3 u - 1 u = 400 - 100
2 u = 300
1 u = 300 ÷ 2 = 150
Number of stickers that Adam in the end
= 3 u
= 3 x 150
= 450
(b)
Number of stickers that Bryan has in the end
= 1 u
= 150
Answer(s): (a) 450; (b) 150