Charlie, Bryan and Adam have some stickers in the ratio of 6 : 1 : 2.
Charlie gives Bryan and Adam a total of 102 stickers.
Now they have same number of stickers.
- What is the total number of stickers that they have?
- What is the number of stickers that Charlie gives to Bryan?
- What is the number of stickers that Charlie gives to Adam?
|
Charlie |
Bryan |
Adam |
Before |
6 u |
1 u |
2 u |
Change |
- 3 u |
+ 2 u |
+ 1 u |
After |
3 u |
3 u |
3 u |
(a)
Total number of stickers
= 6 u + 1 u + 2 u
= 9 u
Number of stickers that each must have to be the same number
= 9 u ÷ 3
= 3 u
Number of stickers that Charlie gives away
= 6 u - 3 u
= 3 u
3 u = 102
1 u = 102 ÷ 3 = 34
Total number of stickers
= 9 u
= 9 x 34
= 306
(b)
Number of stickers that Charlie gives to Bryan
= 3 u - 1 u
= 2 u
= 2 x 34
= 68
(c)
Number of stickers that Charlie gives to Adam
= 3 u - 2 u
= 1 u
= 1 x 34
= 34
Answer(s): (a) 306; (b) 68; (c) 34