Adam, Charlie and Bryan have some stickers in the ratio of 10 : 5 : 3.
Adam gives Charlie and Bryan a total of 76 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 |
10 u |
5 u |
3 u |
Change |
- 4 u |
+ 1 u |
+ 3 u |
After |
6 u |
6 u |
6 u |
(a)
Total number of stickers
= 10 u + 5 u + 3 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
= 10 u - 6 u
= 4 u
4 u = 76
1 u = 76 ÷ 4 = 19
Total number of stickers
= 18 u
= 18 x 19
= 342
(b)
Number of stickers that Adam gives to Charlie
= 6 u - 5 u
= 1 u
= 1 x 19
= 19
(c)
Number of stickers that Adam gives to Bryan
= 6 u - 3 u
= 3 u
= 3 x 19
= 57
Answer(s): (a) 342; (b) 19; (c) 57