Adam has 160 stickers more than Bryan.
After he gives away 140 stickers,
Adam has 3 times as many stickers as Bryan.
- How many stickers does Bryan have?
- How many stickers does Adam have at first?
- How many stickers do they have altogether at first?
- How many stickers do they have altogether in the end?
|
Adam |
Bryan |
Before |
1 u + 160 |
1 u |
Change |
- 140 |
No change |
After |
3 u |
1 u |
(a)
The number of stickers Bryan has at first and in the end remains unchanged.
Make the number of stickers Bryan has the same using LCM of 1 and 1.
LCM of 1 and 1 = 1
1 u + 160 - 140 = 3 u
1 u + 20 = 3 u
3 u - 1 u = 20
2 u = 20
1 u = 20 ÷ 2 = 10
Number of stickers that Bryan has
= 1 u
= 10
(b)
Number of stickers that Adam has at first
= 1 u + 160
= 10 + 160
= 170
(c)
Number of stickers that they have altogether at first
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 10 + 160
= 20 + 160
= 180
(d)
Number of stickers that they have altogether in the end
= 3 u + 1 u
= 4 u
= 4 x 10
= 40
Answer(s): (a) 10; (b) 170; (c) 180; (d) 40