Adam, Charlie and Bryan have some stickers in the ratio of 13 : 3 : 2.
Adam gives Charlie and Bryan a total of 56 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 |
13 u |
3 u |
2 u |
Change |
- 7 u |
+ 3 u |
+ 4 u |
After |
6 u |
6 u |
6 u |
(a)
Total number of stickers
= 13 u + 3 u + 2 u
= 18 u
Number of stickers that each must have to be the same number
= 18 u ÷ 3
= 6 u
Number of stickers that Adam gives away
= 13 u - 6 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of stickers
= 18 u
= 18 x 8
= 144
(b)
Number of stickers that Adam gives to Charlie
= 6 u - 3 u
= 3 u
= 3 x 8
= 24
(c)
Number of stickers that Adam gives to Bryan
= 6 u - 2 u
= 4 u
= 4 x 8
= 32
Answer(s): (a) 144; (b) 24; (c) 32