Charlie has 50 more stickers than Bryan.
After Bryan gives away 30 stickers,
Charlie has 3 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 + 50 |
1 u + 30 |
Change |
No change |
- 30 |
After |
3 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 + 50 = 3 u
1 u + 80 = 3 u
3 u - 1 u = 80
2 u = 80
1 u = 80 ÷ 2 = 40
Number of stickers that Bryan has
= 1 u + 30
= 40 + 30
= 70
(b)
Number of stickers that Charlie has
= 3 u
= 3 x 40
= 120
(c)
Number of stickers that they have altogether at first
= 1 u + 30 + 50 + 1 u + 30
= 1 u + 1 u + 30 + 50 + 30
= 2 u + 110
= 2 x 40 + 110
= 80 + 110
= 190
(d)
Number of stickers that they have altogether in the end
= 3 u + 1 u
= 4 u
= 4 x 40
= 160
Answer(s): (a) 70; (b) 120; (c) 190; (d) 160