The ratio of the number of green stickers to blue stickers is 5 : 2.
After Adam buys another 60 green stickers and 70 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 5 : 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 5 = (4) |
Before |
20 u |
5 u |
2 u |
10 u |
Change |
+ 240 |
+ 60 |
+ 70 |
+ 350 |
After |
20 u + 240 |
5 u + 60 |
2 u + 70 |
10 u + 350 |
Comparing the green stickers and the blue stickers in the end |
20 p |
5 p |
4 p |
20 p |
5 u + 60 = 5 p --- (1)
2 u + 70 = 4 p --- (2)
Make p the same by using the LCM of 4 and 5.
LCM of 4 and 5 is 20.
(1)
x 4 20 u + 240 = 20 p --- (3)
(2)
x 5 10 u + 350 = 20 p --- (4)
(3) = (4)
20 u + 240 = 10 u + 350
20 u - 10 u = 350 - 240
10 u = 110
1 u = 110 ÷ 10 = 11
Number of stickers that Adam has now
= 5 u + 60 + 2 u + 70
= 5 u + 2 u + 60 + 70
= 7 u + 130
= 7 x 11 + 130
= 77 + 130
= 207
Answer(s): 207