The ratio of the number of blue stickers to red stickers is 3 : 1.
After Adam buys another 80 blue stickers and 90 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 |
9 u |
3 u |
1 u |
4 u |
Change |
+ 240 |
+ 80 |
+ 90 |
+ 360 |
After |
9 u + 240 |
3 u + 80 |
1 u + 90 |
4 u + 360 |
Comparing the blue stickers and the red stickers in the end |
12 p |
4 p |
3 p |
12 p |
3 u + 80 = 4 p --- (1)
1 u + 90 = 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 9 u + 240 = 12 p --- (3)
(2)
x 4 4 u + 360 = 12 p --- (4)
(3) = (4)
9 u + 240 = 4 u + 360
9 u - 4 u = 360 - 240
5 u = 120
1 u = 120 ÷ 5 = 24
Number of stickers that Adam has now
= 3 u + 80 + 1 u + 90
= 3 u + 1 u + 80 + 90
= 4 u + 170
= 4 x 24 + 170
= 96 + 170
= 266
Answer(s): 266