The ratio of the number of red stickers to blue stickers is 3 : 1.
After Adam buys another 39 blue stickers and gives away 27 red stickers,
the ratio becomes of the number of red stickers to blue stickers is 3 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Red |
(2) Blue |
Make p the same (2) x 3 = (4) |
Before |
6 u |
3 u |
1 u |
3 u |
Change |
- 54 |
- 27 |
+ 39 |
+ 117 |
After |
6 p |
3 p |
2 p |
6 p |
3 u + 39 = 3 p --- (1)
1 u - 27 = 2 p --- (2)
Make p the same.
(1)
x 26 u - 54 = 6 p --- (3)
(2)
x 33 u + 117 = 6 p --- (4)
(3) = (4)
6 u - 54 = 3 u + 117
6 u - 3 u = 54 + 117
3 u = 171
1 u = 171 ÷ 3 = 57
Number of stickers that Adam have now
= 3 u + 39 + 1 u - 27
= 3 u + 1 u + 39 - 27
= 4 u + 12
= 4 x 57 + 12
= 228 + 12
= 240
Answer(s): 240