Bryan, Adam and Charlie have some stickers in the ratio of 10 : 5 : 3.
Bryan gives Adam and Charlie a total of 92 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 Adam?
- What is the number of stickers that Bryan gives to Charlie?
|
Bryan |
Adam |
Charlie |
Before |
10 u |
5 u |
3 u |
Change |
- 4 u |
+ 1 u |
+ 3 u |
After |
6 u |
6 u |
6 u |
(a)
Total number of stickers
= 10 u + 5 u + 3 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
= 10 u - 6 u
= 4 u
4 u = 92
1 u = 92 ÷ 4 = 23
Total number of stickers
= 18 u
= 18 x 23
= 414
(b)
Number of stickers that Bryan gives to Adam
= 6 u - 5 u
= 1 u
= 1 x 23
= 23
(c)
Number of stickers that Bryan gives to Charlie
= 6 u - 3 u
= 3 u
= 3 x 23
= 69
Answer(s): (a) 414; (b) 23; (c) 69