The ratio of the number of green stickers to blue stickers is 7 : 4.
After Adam buys another 10 green stickers and 50 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 |
21 u |
7 u |
4 u |
16 u |
Change |
+ 30 |
+ 10 |
+ 50 |
+ 200 |
After |
21 u + 30 |
7 u + 10 |
4 u + 50 |
16 u + 200 |
Comparing the green stickers and the blue stickers in the end |
12 p |
4 p |
3 p |
12 p |
7 u + 10 = 4 p --- (1)
4 u + 50 = 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 21 u + 30 = 12 p --- (3)
(2)
x 4 16 u + 200 = 12 p --- (4)
(3) = (4)
21 u + 30 = 16 u + 200
21 u - 16 u = 200 - 30
5 u = 170
1 u = 170 ÷ 5 = 34
Number of stickers that Adam has now
= 7 u + 10 + 4 u + 50
= 7 u + 4 u + 10 + 50
= 11 u + 60
= 11 x 34 + 60
= 374 + 60
= 434
Answer(s): 434