The ratio of the number of green stickers to blue stickers is 6 : 1.
After Adam buys another 27 blue stickers and gives away 15 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 |
- 30 |
- 15 |
+ 27 |
+ 243 |
After |
18 p |
9 p |
2 p |
18 p |
6 u + 27 = 9 p --- (1)
1 u - 15 = 2 p --- (2)
Make p the same.
(1)
x 212 u - 30 = 18 p --- (3)
(2)
x 99 u + 243 = 18 p --- (4)
(3) = (4)
12 u - 30 = 9 u + 243
12 u - 9 u = 30 + 243
3 u = 273
1 u = 273 ÷ 3 = 91
Number of stickers that Adam have now
= 6 u + 27 + 1 u - 15
= 6 u + 1 u + 27 - 15
= 7 u + 12
= 7 x 91 + 12
= 637 + 12
= 649
Answer(s): 649