Bryan, Charlie and Adam have some stickers in the ratio of 11 : 3 : 4.
Bryan gives Charlie and Adam a total of 55 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 Bryan gives to Charlie?
- What is the number of stickers that Bryan gives to Adam?
|
Bryan |
Charlie |
Adam |
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 Bryan gives away
= 11 u - 6 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Total number of stickers
= 18 u
= 18 x 11
= 198
(b)
Number of stickers that Bryan gives to Charlie
= 6 u - 3 u
= 3 u
= 3 x 11
= 33
(c)
Number of stickers that Bryan gives to Adam
= 6 u - 4 u
= 2 u
= 2 x 11
= 22
Answer(s): (a) 198; (b) 33; (c) 22