The ratio of the number of green stickers to red stickers is 2 : 1.
After Adam buys another 30 green stickers and 60 red stickers,
the ratio becomes of the number of green stickers to red stickers is 8 : 5.
How many stickers does Adam have now?
|
Make p the same (1) x 5 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 8 = (4) |
Before |
10 u |
2 u |
1 u |
8 u |
Change |
+ 150 |
+ 30 |
+ 60 |
+ 480 |
After |
10 u + 150 |
2 u + 30 |
1 u + 60 |
8 u + 480 |
Comparing the green stickers and the red stickers in the end |
40 p |
8 p |
5 p |
40 p |
2 u + 30 = 8 p --- (1)
1 u + 60 = 5 p --- (2)
Make p the same by using the LCM of 5 and 8.
LCM of 5 and 8 is 40.
(1)
x 5 10 u + 150 = 40 p --- (3)
(2)
x 8 8 u + 480 = 40 p --- (4)
(3) = (4)
10 u + 150 = 8 u + 480
10 u - 8 u = 480 - 150
2 u = 330
1 u = 330 ÷ 2 = 165
Number of stickers that Adam has now
= 2 u + 30 + 1 u + 60
= 2 u + 1 u + 30 + 60
= 3 u + 90
= 3 x 165 + 90
= 495 + 90
= 585
Answer(s): 585