Adam and Bryan have some stickers in the ratio of 8 : 7.
When Adam buys another 22 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?
|
Adam |
Bryan |
Before |
8 x 5 = 40 u |
7 x 5 = 35 u |
Change |
+ 22 |
No change |
After |
6 x 7 = 42 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 Adam buys
= 42 u - 40 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of stickers that they have at first
= 40 u + 35 u
= 75 u
= 75 x 11
= 825
(b)
Number of stickers that they have in the end
= 42 u + 35 u
= 77 u
= 77 x 11
= 847
Answer(s): (a) 825; (b) 847