Adam and Bryan have some stickers in the ratio of 6 : 7.
When Adam buys another 36 stickers,
the ratio of the stickers becomes 3 : 2.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Charlie |
Bryan |
Before |
6 x 2 = 12 u |
7 x 2 = 14 u |
Change |
+ 36 |
No change |
After |
3 x 7 = 21 u |
2 x 7 = 14 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 2.
LCM of 7 and 2 = 14
Number of stickers that Charlie buys
= 21 u - 12 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Number of stickers that they have at first
= 12 u + 14 u
= 26 u
= 26 x 4
= 104
(b)
Number of stickers that they have in the end
= 21 u + 14 u
= 35 u
= 35 x 4
= 140
Answer(s): (a) 104; (b) 140