The ratio of the number of blue stickers to red stickers is 2 : 1.
After Adam buys another 50 blue stickers and 80 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 4 = (4) |
Before |
6 u |
2 u |
1 u |
4 u |
Change |
+ 150 |
+ 50 |
+ 80 |
+ 320 |
After |
6 u + 150 |
2 u + 50 |
1 u + 80 |
4 u + 320 |
Comparing the blue stickers and the red stickers in the end |
12 p |
4 p |
3 p |
12 p |
2 u + 50 = 4 p --- (1)
1 u + 80 = 3 p --- (2)
Make p the same by using the LCM of 3 and 4.
LCM of 3 and 4 is 12.
(1)
x 3 6 u + 150 = 12 p --- (3)
(2)
x 4 4 u + 320 = 12 p --- (4)
(3) = (4)
6 u + 150 = 4 u + 320
6 u - 4 u = 320 - 150
2 u = 170
1 u = 170 ÷ 2 = 85
Number of stickers that Adam has now
= 2 u + 50 + 1 u + 80
= 2 u + 1 u + 50 + 80
= 3 u + 130
= 3 x 85 + 130
= 255 + 130
= 385
Answer(s): 385