The ratio of the number of green stickers to blue stickers is 6 : 1.
After Adam buys another 23 blue stickers and gives away 12 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 9 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 9 = (4) |
Before |
12 u |
6 u |
1 u |
9 u |
Change |
- 24 |
- 12 |
+ 23 |
+ 207 |
After |
18 p |
9 p |
2 p |
18 p |
6 u + 23 = 9 p --- (1)
1 u - 12 = 2 p --- (2)
Make p the same.
(1)
x 212 u - 24 = 18 p --- (3)
(2)
x 99 u + 207 = 18 p --- (4)
(3) = (4)
12 u - 24 = 9 u + 207
12 u - 9 u = 24 + 207
3 u = 231
1 u = 231 ÷ 3 = 77
Number of stickers that Adam have now
= 6 u + 23 + 1 u - 12
= 6 u + 1 u + 23 - 12
= 7 u + 11
= 7 x 77 + 11
= 539 + 11
= 550
Answer(s): 550