The ratio of the number of red stickers to green stickers is 4 : 1.
After Adam buys another 30 red stickers and 80 green stickers,
the ratio becomes of the number of red stickers to green stickers is 3 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Red |
(2) Green |
Make p the same (2) x 3 = (4) |
Before |
8 u |
4 u |
1 u |
3 u |
Change |
+ 60 |
+ 30 |
+ 80 |
+ 240 |
After |
8 u + 60 |
4 u + 30 |
1 u + 80 |
3 u + 240 |
Comparing the red stickers and the green stickers in the end |
6 p |
3 p |
2 p |
6 p |
4 u + 30 = 3 p --- (1)
1 u + 80 = 2 p --- (2)
Make p the same by using the LCM of 2 and 3.
LCM of 2 and 3 is 6.
(1)
x 2 8 u + 60 = 6 p --- (3)
(2)
x 3 3 u + 240 = 6 p --- (4)
(3) = (4)
8 u + 60 = 3 u + 240
8 u - 3 u = 240 - 60
5 u = 180
1 u = 180 ÷ 5 = 36
Number of stickers that Adam has now
= 4 u + 30 + 1 u + 80
= 4 u + 1 u + 30 + 80
= 5 u + 110
= 5 x 36 + 110
= 180 + 110
= 290
Answer(s): 290