Adam and Bryan have some stickers in the ratio of 6 : 5.
When Adam buys another 84 stickers,
the ratio of the stickers becomes 5 : 3.
- How many stickers do they have at first?
- How many stickers do they have in the end?
|
Bryan |
Charlie |
Before |
6 x 3 = 18 u |
5 x 3 = 15 u |
Change |
+ 84 |
No change |
After |
5 x 5 = 25 u |
3 x 5 = 15 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 3.
LCM of 5 and 3 = 15
Number of stickers that Bryan buys
= 25 u - 18 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Number of stickers that they have at first
= 18 u + 15 u
= 33 u
= 33 x 12
= 396
(b)
Number of stickers that they have in the end
= 25 u + 15 u
= 40 u
= 40 x 12
= 480
Answer(s): (a) 396; (b) 480