Adam and Bryan have some stickers in the ratio of 6 : 5.
When Adam buys another 91 stickers,
the ratio of the stickers becomes 5 : 2.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Bryan |
Charlie |
Before |
6 x 2 = 12 u |
5 x 2 = 10 u |
Change |
+ 91 |
No change |
After |
5 x 5 = 25 u |
2 x 5 = 10 u |
(a)
The number of stickers that Charlie has remains unchanged.
Make the number of stickers that Charlie has the same using LCM of 5 and 2.
LCM of 5 and 2 = 10
Number of stickers that Bryan buys
= 25 u - 12 u
= 13 u
13 u = 91
1 u = 91 ÷ 13 = 7
Number of stickers that they have at first
= 12 u + 10 u
= 22 u
= 22 x 7
= 154
(b)
Number of stickers that they have in the end
= 25 u + 10 u
= 35 u
= 35 x 7
= 245
Answer(s): (a) 154; (b) 245