Charlie and Bryan have some stickers in the ratio of 4 : 7.
When Charlie gives away 54 stickers,
the ratio of the stickers becomes 2 : 5.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Charlie |
Bryan |
Before |
4 x 5 = 20 u |
7 x 5 = 35 u |
Change |
- 54 |
No change |
After |
2 x 7 = 14 u |
5 x 7 = 35 u |
(a)
The number of stickers that Bryan has remains unchanged.
Make the number of stickers that Bryan has the same using LCM of 7 and 5.
LCM of 7 and 5 = 35
Number of stickers that Charlie gives away
= 20 u - 14 u
= 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
Number of stickers that they have at first
= 20 u + 35 u
= 55 u
= 55 x 9
= 495
(b)
Number of stickers that they have in the end
= 14 u + 35 u
= 49 u
= 49 x 9
= 441
Answer(s): (a) 495; (b) 441