The ratio of the number of red stickers to blue stickers is 6 : 1.
After Adam buys another 45 blue stickers and gives away 15 red stickers,
the ratio becomes of the number of red stickers to blue stickers is 9 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Red |
(2) Blue |
Make p the same (2) x 9 = (4) |
Before |
24 u |
6 u |
1 u |
9 u |
Change |
- 60 |
- 15 |
+ 45 |
+ 405 |
After |
36 p |
9 p |
4 p |
36 p |
6 u + 45 = 9 p --- (1)
1 u - 15 = 4 p --- (2)
Make p the same.
(1)
x 424 u - 60 = 36 p --- (3)
(2)
x 99 u + 405 = 36 p --- (4)
(3) = (4)
24 u - 60 = 9 u + 405
24 u - 9 u = 60 + 405
15 u = 465
1 u = 465 ÷ 15 = 31
Number of stickers that Adam have now
= 6 u + 45 + 1 u - 15
= 6 u + 1 u + 45 - 15
= 7 u + 30
= 7 x 31 + 30
= 217 + 30
= 247
Answer(s): 247