Charlie has 30 more stickers than Bryan.
After Bryan gives away 30 stickers,
Charlie has 4 times as many stickers as Bryan.
- How many stickers does Bryan have at first?
- How many stickers does Charlie have?
- How many stickers do they have altogether at first?
- How many stickers do they have altogether in the end?
|
Charlie |
Bryan |
Before |
1 u + 30 + 30 |
1 u + 30 |
Change |
No change |
- 30 |
After |
4 u |
1 u |
(a)
The number of stickers that Charlie has at first and in the end remains unchanged.
Number of stickers that Charlie has at first = Number of stickers that Charlie has in the end
1 u + 30 + 30 = 4 u
1 u + 60 = 4 u
4 u - 1 u = 60
3 u = 60
1 u = 60 ÷ 3 = 20
Number of stickers that Bryan has
= 1 u + 30
= 20 + 30
= 50
(b)
Number of stickers that Charlie has
= 4 u
= 4 x 20
= 80
(c)
Number of stickers that they have altogether at first
= 1 u + 30 + 30 + 1 u + 30
= 1 u + 1 u + 30 + 30 + 30
= 2 u + 90
= 2 x 20 + 90
= 40 + 90
= 130
(d)
Number of stickers that they have altogether in the end
= 4 u + 1 u
= 5 u
= 5 x 20
= 100
Answer(s): (a) 50; (b) 80; (c) 130; (d) 100