The ratio of the number of green stickers to red stickers is 9 : 5.
After Adam buys another 10 green stickers and 70 red stickers,
the ratio becomes of the number of green stickers to red stickers is 5 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 5 = (4) |
Before |
27 u |
9 u |
5 u |
25 u |
Change |
+ 30 |
+ 10 |
+ 70 |
+ 350 |
After |
27 u + 30 |
9 u + 10 |
5 u + 70 |
25 u + 350 |
Comparing the green stickers and the red stickers in the end |
15 p |
5 p |
3 p |
15 p |
9 u + 10 = 5 p --- (1)
5 u + 70 = 3 p --- (2)
Make p the same by using the LCM of 3 and 5.
LCM of 3 and 5 is 15.
(1)
x 3 27 u + 30 = 15 p --- (3)
(2)
x 5 25 u + 350 = 15 p --- (4)
(3) = (4)
27 u + 30 = 25 u + 350
27 u - 25 u = 350 - 30
2 u = 320
1 u = 320 ÷ 2 = 160
Number of stickers that Adam has now
= 9 u + 10 + 5 u + 70
= 9 u + 5 u + 10 + 70
= 14 u + 80
= 14 x 160 + 80
= 2240 + 80
= 2320
Answer(s): 2320