Adam has 30 more stickers than Charlie.
After Charlie gives away 30 stickers,
Adam has 5 times as many stickers as Charlie.
- How many stickers does Charlie have at first?
- How many stickers does Adam have?
- How many stickers do they have altogether at first?
- How many stickers do they have altogether in the end?
|
Adam |
Charlie |
Before |
1 u + 30 + 30 |
1 u + 30 |
Change |
No change |
- 30 |
After |
5 u |
1 u |
(a)
The number of stickers that Adam has at first and in the end remains unchanged.
Number of stickers that Adam has at first = Number of stickers that Adam has in the end
1 u + 30 + 30 = 5 u
1 u + 60 = 5 u
5 u - 1 u = 60
4 u = 60
1 u = 60 ÷ 4 = 15
Number of stickers that Charlie has
= 1 u + 30
= 15 + 30
= 45
(b)
Number of stickers that Adam has
= 5 u
= 5 x 15
= 75
(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 15 + 90
= 30 + 90
= 120
(d)
Number of stickers that they have altogether in the end
= 5 u + 1 u
= 6 u
= 6 x 15
= 90
Answer(s): (a) 45; (b) 75; (c) 120; (d) 90