Charlie, Bryan and Adam have some stickers in the ratio of 10 : 3 : 5.
Charlie gives Bryan and Adam a total of 84 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 |
10 u |
3 u |
5 u |
Change |
- 4 u |
+ 3 u |
+ 1 u |
After |
6 u |
6 u |
6 u |
(a)
Total number of stickers
= 10 u + 3 u + 5 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
= 10 u - 6 u
= 4 u
4 u = 84
1 u = 84 ÷ 4 = 21
Total number of stickers
= 18 u
= 18 x 21
= 378
(b)
Number of stickers that Charlie gives to Bryan
= 6 u - 3 u
= 3 u
= 3 x 21
= 63
(c)
Number of stickers that Charlie gives to Adam
= 6 u - 5 u
= 1 u
= 1 x 21
= 21
Answer(s): (a) 378; (b) 63; (c) 21