The ratio of the number of green stickers to blue stickers is 3 : 1.
After Adam buys another 49 blue stickers and gives away 36 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 3 : 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 3 = (4) |
Before |
6 u |
3 u |
1 u |
3 u |
Change |
- 72 |
- 36 |
+ 49 |
+ 147 |
After |
6 p |
3 p |
2 p |
6 p |
3 u + 49 = 3 p --- (1)
1 u - 36 = 2 p --- (2)
Make p the same.
(1)
x 26 u - 72 = 6 p --- (3)
(2)
x 33 u + 147 = 6 p --- (4)
(3) = (4)
6 u - 72 = 3 u + 147
6 u - 3 u = 72 + 147
3 u = 219
1 u = 219 ÷ 3 = 73
Number of stickers that Adam have now
= 3 u + 49 + 1 u - 36
= 3 u + 1 u + 49 - 36
= 4 u + 13
= 4 x 73 + 13
= 292 + 13
= 305
Answer(s): 305