Bryan, Adam and Charlie have some stickers in the ratio of 7 : 2 : 3.
Bryan gives Adam and Charlie a total of 105 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 |
7 u |
2 u |
3 u |
Change |
- 3 u |
+ 2 u |
+ 1 u |
After |
4 u |
4 u |
4 u |
(a)
Total number of stickers
= 7 u + 2 u + 3 u
= 12 u
Number of stickers that each must have to be the same number
= 12 u ÷ 3
= 4 u
Number of stickers that Bryan gives away
= 7 u - 4 u
= 3 u
3 u = 105
1 u = 105 ÷ 3 = 35
Total number of stickers
= 12 u
= 12 x 35
= 420
(b)
Number of stickers that Bryan gives to Adam
= 4 u - 2 u
= 2 u
= 2 x 35
= 70
(c)
Number of stickers that Bryan gives to Charlie
= 4 u - 3 u
= 1 u
= 1 x 35
= 35
Answer(s): (a) 420; (b) 70; (c) 35