The ratio of the number of green stickers to blue stickers is 2 : 1.
After Adam buys another 30 green stickers and 70 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 4 = (4) |
Before |
6 u |
2 u |
1 u |
4 u |
Change |
+ 90 |
+ 30 |
+ 70 |
+ 280 |
After |
6 u + 90 |
2 u + 30 |
1 u + 70 |
4 u + 280 |
Comparing the green stickers and the blue stickers in the end |
12 p |
4 p |
3 p |
12 p |
2 u + 30 = 4 p --- (1)
1 u + 70 = 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 + 90 = 12 p --- (3)
(2)
x 4 4 u + 280 = 12 p --- (4)
(3) = (4)
6 u + 90 = 4 u + 280
6 u - 4 u = 280 - 90
2 u = 190
1 u = 190 ÷ 2 = 95
Number of stickers that Adam has now
= 2 u + 30 + 1 u + 70
= 2 u + 1 u + 30 + 70
= 3 u + 100
= 3 x 95 + 100
= 285 + 100
= 385
Answer(s): 385