Charlie, Adam and Bryan have some stickers in the ratio of 11 : 3 : 4.
Charlie gives Adam and Bryan a total of 110 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 Adam?
- What is the number of stickers that Charlie gives to Bryan?
|
Charlie |
Adam |
Bryan |
Before |
11 u |
3 u |
4 u |
Change |
- 5 u |
+ 3 u |
+ 2 u |
After |
6 u |
6 u |
6 u |
(a)
Total number of stickers
= 11 u + 3 u + 4 u
= 18 u
Number of stickers that each must have to be the same number
= 18 u ÷ 3
= 6 u
Number of stickers that Charlie gives away
= 11 u - 6 u
= 5 u
5 u = 110
1 u = 110 ÷ 5 = 22
Total number of stickers
= 18 u
= 18 x 22
= 396
(b)
Number of stickers that Charlie gives to Adam
= 6 u - 3 u
= 3 u
= 3 x 22
= 66
(c)
Number of stickers that Charlie gives to Bryan
= 6 u - 4 u
= 2 u
= 2 x 22
= 44
Answer(s): (a) 396; (b) 66; (c) 44