The ratio of the number of blue stickers to green stickers is 5 : 2.
After Adam buys another 50 blue stickers and 60 green stickers,
the ratio becomes of the number of blue stickers to green stickers is 5 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 5 = (4) |
Before |
20 u |
5 u |
2 u |
10 u |
Change |
+ 200 |
+ 50 |
+ 60 |
+ 300 |
After |
20 u + 200 |
5 u + 50 |
2 u + 60 |
10 u + 300 |
Comparing the blue stickers and the green stickers in the end |
20 p |
5 p |
4 p |
20 p |
5 u + 50 = 5 p --- (1)
2 u + 60 = 4 p --- (2)
Make p the same by using the LCM of 4 and 5.
LCM of 4 and 5 is 20.
(1)
x 4 20 u + 200 = 20 p --- (3)
(2)
x 5 10 u + 300 = 20 p --- (4)
(3) = (4)
20 u + 200 = 10 u + 300
20 u - 10 u = 300 - 200
10 u = 100
1 u = 100 ÷ 10 = 10
Number of stickers that Adam has now
= 5 u + 50 + 2 u + 60
= 5 u + 2 u + 50 + 60
= 7 u + 110
= 7 x 10 + 110
= 70 + 110
= 180
Answer(s): 180