Charlie, Bryan and Adam have some stickers in the ratio of 12 : 2 : 1.
Charlie gives Bryan and Adam a total of 98 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 |
12 u |
2 u |
1 u |
Change |
- 7 u |
+ 3 u |
+ 4 u |
After |
5 u |
5 u |
5 u |
(a)
Total number of stickers
= 12 u + 2 u + 1 u
= 15 u
Number of stickers that each must have to be the same number
= 15 u ÷ 3
= 5 u
Number of stickers that Charlie gives away
= 12 u - 5 u
= 7 u
7 u = 98
1 u = 98 ÷ 7 = 14
Total number of stickers
= 15 u
= 15 x 14
= 210
(b)
Number of stickers that Charlie gives to Bryan
= 5 u - 2 u
= 3 u
= 3 x 14
= 42
(c)
Number of stickers that Charlie gives to Adam
= 5 u - 1 u
= 4 u
= 4 x 14
= 56
Answer(s): (a) 210; (b) 42; (c) 56