The ratio of the number of blue stickers to red stickers is 7 : 5.
After Adam buys another 50 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 |
35 u |
7 u |
5 u |
30 u |
Change |
+ 250 |
+ 50 |
+ 60 |
+ 360 |
After |
35 u + 250 |
7 u + 50 |
5 u + 60 |
30 u + 360 |
Comparing the blue stickers and the red stickers in the end |
30 p |
6 p |
5 p |
30 p |
7 u + 50 = 6 p --- (1)
5 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 35 u + 250 = 30 p --- (3)
(2)
x 6 30 u + 360 = 30 p --- (4)
(3) = (4)
35 u + 250 = 30 u + 360
35 u - 30 u = 360 - 250
5 u = 110
1 u = 110 ÷ 5 = 22
Number of stickers that Adam has now
= 7 u + 50 + 5 u + 60
= 7 u + 5 u + 50 + 60
= 12 u + 110
= 12 x 22 + 110
= 264 + 110
= 374
Answer(s): 374