The ratio of the number of green stickers to red stickers is 4 : 3.
After Adam buys another 50 green stickers and 80 red stickers,
the ratio becomes of the number of green stickers to red stickers is 6 : 5.
How many stickers does Adam have now?
|
Make p the same (1) x 5 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 6 = (4) |
Before |
20 u |
4 u |
3 u |
18 u |
Change |
+ 250 |
+ 50 |
+ 80 |
+ 480 |
After |
20 u + 250 |
4 u + 50 |
3 u + 80 |
18 u + 480 |
Comparing the green stickers and the red stickers in the end |
30 p |
6 p |
5 p |
30 p |
4 u + 50 = 6 p --- (1)
3 u + 80 = 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 20 u + 250 = 30 p --- (3)
(2)
x 6 18 u + 480 = 30 p --- (4)
(3) = (4)
20 u + 250 = 18 u + 480
20 u - 18 u = 480 - 250
2 u = 230
1 u = 230 ÷ 2 = 115
Number of stickers that Adam has now
= 4 u + 50 + 3 u + 80
= 4 u + 3 u + 50 + 80
= 7 u + 130
= 7 x 115 + 130
= 805 + 130
= 935
Answer(s): 935