The ratio of the number of green stickers to blue stickers is 9 : 4.
After Adam buys another 10 green stickers and 80 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 7 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 7 = (4) |
Before |
36 u |
9 u |
4 u |
28 u |
Change |
+ 40 |
+ 10 |
+ 80 |
+ 560 |
After |
36 u + 40 |
9 u + 10 |
4 u + 80 |
28 u + 560 |
Comparing the green stickers and the blue stickers in the end |
28 p |
7 p |
4 p |
28 p |
9 u + 10 = 7 p --- (1)
4 u + 80 = 4 p --- (2)
Make p the same by using the LCM of 4 and 7.
LCM of 4 and 7 is 28.
(1)
x 4 36 u + 40 = 28 p --- (3)
(2)
x 7 28 u + 560 = 28 p --- (4)
(3) = (4)
36 u + 40 = 28 u + 560
36 u - 28 u = 560 - 40
8 u = 520
1 u = 520 ÷ 8 = 65
Number of stickers that Adam has now
= 9 u + 10 + 4 u + 80
= 9 u + 4 u + 10 + 80
= 13 u + 90
= 13 x 65 + 90
= 845 + 90
= 935
Answer(s): 935