Adam, Charlie and Bryan have some stickers in the ratio of 11 : 1 : 3.
Adam gives Charlie and Bryan a total of 120 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 Adam gives to Charlie?
- What is the number of stickers that Adam gives to Bryan?
|
Adam |
Charlie |
Bryan |
Before |
11 u |
1 u |
3 u |
Change |
- 6 u |
+ 4 u |
+ 2 u |
After |
5 u |
5 u |
5 u |
(a)
Total number of stickers
= 11 u + 1 u + 3 u
= 15 u
Number of stickers that each must have to be the same number
= 15 u ÷ 3
= 5 u
Number of stickers that Adam gives away
= 11 u - 5 u
= 6 u
6 u = 120
1 u = 120 ÷ 6 = 20
Total number of stickers
= 15 u
= 15 x 20
= 300
(b)
Number of stickers that Adam gives to Charlie
= 5 u - 1 u
= 4 u
= 4 x 20
= 80
(c)
Number of stickers that Adam gives to Bryan
= 5 u - 3 u
= 2 u
= 2 x 20
= 40
Answer(s): (a) 300; (b) 80; (c) 40