Bryan, Adam and Charlie have some stickers in the ratio of 14 : 3 : 1.
Bryan gives Adam and Charlie a total of 72 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 |
14 u |
3 u |
1 u |
Change |
- 8 u |
+ 3 u |
+ 5 u |
After |
6 u |
6 u |
6 u |
(a)
Total number of stickers
= 14 u + 3 u + 1 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
= 14 u - 6 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Total number of stickers
= 18 u
= 18 x 9
= 162
(b)
Number of stickers that Bryan gives to Adam
= 6 u - 3 u
= 3 u
= 3 x 9
= 27
(c)
Number of stickers that Bryan gives to Charlie
= 6 u - 1 u
= 5 u
= 5 x 9
= 45
Answer(s): (a) 162; (b) 27; (c) 45