Adam and Bryan have some stickers in the ratio of 3 : 8.
When Adam buys another 99 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 |
Charlie |
Before |
3 x 5 = 15 u |
8 x 5 = 40 u |
Change |
+ 99 |
No change |
After |
6 x 8 = 48 u |
5 x 8 = 40 u |
(a)
The number of stickers that Charlie has remains unchanged.
Make the number of stickers that Charlie has the same using LCM of 8 and 5.
LCM of 8 and 5 = 40
Number of stickers that Adam buys
= 48 u - 15 u
= 33 u
33 u = 99
1 u = 99 ÷ 33 = 3
Number of stickers that they have at first
= 15 u + 40 u
= 55 u
= 55 x 3
= 165
(b)
Number of stickers that they have in the end
= 48 u + 40 u
= 88 u
= 88 x 3
= 264
Answer(s): (a) 165; (b) 264