The ratio of the number of blue stickers to red stickers is 6 : 1.
After Adam buys another 34 red stickers and gives away 27 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 9 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 9 = (4) |
Before |
12 u |
6 u |
1 u |
9 u |
Change |
- 54 |
- 27 |
+ 34 |
+ 306 |
After |
18 p |
9 p |
2 p |
18 p |
6 u + 34 = 9 p --- (1)
1 u - 27 = 2 p --- (2)
Make p the same.
(1)
x 212 u - 54 = 18 p --- (3)
(2)
x 99 u + 306 = 18 p --- (4)
(3) = (4)
12 u - 54 = 9 u + 306
12 u - 9 u = 54 + 306
3 u = 360
1 u = 360 ÷ 3 = 120
Number of stickers that Adam have now
= 6 u + 34 + 1 u - 27
= 6 u + 1 u + 34 - 27
= 7 u + 7
= 7 x 120 + 7
= 840 + 7
= 847
Answer(s): 847