Adam, Charlie and Bryan have some stickers in the ratio of 6 : 2 : 1.
Adam gives Charlie and Bryan a total of 42 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 Adam gives to Charlie?
- What is the number of stickers that Adam gives to Bryan?
|
Adam |
Charlie |
Bryan |
Before |
6 u |
2 u |
1 u |
Change |
- 3 u |
+ 1 u |
+ 2 u |
After |
3 u |
3 u |
3 u |
(a)
Total number of stickers
= 6 u + 2 u + 1 u
= 9 u
Number of stickers that each must have to be the same number
= 9 u ÷ 3
= 3 u
Number of stickers that Adam gives away
= 6 u - 3 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Total number of stickers
= 9 u
= 9 x 14
= 126
(b)
Number of stickers that Adam gives to Charlie
= 3 u - 2 u
= 1 u
= 1 x 14
= 14
(c)
Number of stickers that Adam gives to Bryan
= 3 u - 1 u
= 2 u
= 2 x 14
= 28
Answer(s): (a) 126; (b) 14; (c) 28