Adam and Bryan have some stickers in the ratio of 5 : 6.
When Adam buys another 33 stickers,
the ratio of the stickers becomes 6 : 5.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Charlie |
Bryan |
Before |
5 x 5 = 25 u |
6 x 5 = 30 u |
Change |
+ 33 |
No change |
After |
6 x 6 = 36 u |
5 x 6 = 30 u |
(a)
The number of stickers that Bryan has remains unchanged.
Make the number of stickers that Bryan has the same using LCM of 6 and 5.
LCM of 6 and 5 = 30
Number of stickers that Charlie buys
= 36 u - 25 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Number of stickers that they have at first
= 25 u + 30 u
= 55 u
= 55 x 3
= 165
(b)
Number of stickers that they have in the end
= 36 u + 30 u
= 66 u
= 66 x 3
= 198
Answer(s): (a) 165; (b) 198