Bryan, Charlie and Adam have some stickers in the ratio of 13 : 5 : 3.
Bryan gives Charlie and Adam 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 Bryan gives to Charlie?
- What is the number of stickers that Bryan gives to Adam?
|
Bryan |
Charlie |
Adam |
Before |
13 u |
5 u |
3 u |
Change |
- 6 u |
+ 2 u |
+ 4 u |
After |
7 u |
7 u |
7 u |
(a)
Total number of stickers
= 13 u + 5 u + 3 u
= 21 u
Number of stickers that each must have to be the same number
= 21 u ÷ 3
= 7 u
Number of stickers that Bryan gives away
= 13 u - 7 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Total number of stickers
= 21 u
= 21 x 7
= 147
(b)
Number of stickers that Bryan gives to Charlie
= 7 u - 5 u
= 2 u
= 2 x 7
= 14
(c)
Number of stickers that Bryan gives to Adam
= 7 u - 3 u
= 4 u
= 4 x 7
= 28
Answer(s): (a) 147; (b) 14; (c) 28