The ratio of the number of blue stickers to red stickers is 3 : 2.
After Adam buys another 30 blue stickers and 60 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 6 : 5.
How many stickers does Adam have now?
|
Make p the same (1) x 5 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 6 = (4) |
Before |
15 u |
3 u |
2 u |
12 u |
Change |
+ 150 |
+ 30 |
+ 60 |
+ 360 |
After |
15 u + 150 |
3 u + 30 |
2 u + 60 |
12 u + 360 |
Comparing the blue stickers and the red stickers in the end |
30 p |
6 p |
5 p |
30 p |
3 u + 30 = 6 p --- (1)
2 u + 60 = 5 p --- (2)
Make p the same by using the LCM of 5 and 6.
LCM of 5 and 6 is 30.
(1)
x 5 15 u + 150 = 30 p --- (3)
(2)
x 6 12 u + 360 = 30 p --- (4)
(3) = (4)
15 u + 150 = 12 u + 360
15 u - 12 u = 360 - 150
3 u = 210
1 u = 210 ÷ 3 = 70
Number of stickers that Adam has now
= 3 u + 30 + 2 u + 60
= 3 u + 2 u + 30 + 60
= 5 u + 90
= 5 x 70 + 90
= 350 + 90
= 440
Answer(s): 440