The ratio of the number of green stickers to blue stickers is 6 : 1.
After Adam buys another 50 blue stickers and gives away 33 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 |
12 u |
6 u |
1 u |
3 u |
Change |
- 66 |
- 33 |
+ 50 |
+ 150 |
After |
6 p |
3 p |
2 p |
6 p |
6 u + 50 = 3 p --- (1)
1 u - 33 = 2 p --- (2)
Make p the same.
(1)
x 212 u - 66 = 6 p --- (3)
(2)
x 33 u + 150 = 6 p --- (4)
(3) = (4)
12 u - 66 = 3 u + 150
12 u - 3 u = 66 + 150
9 u = 216
1 u = 216 ÷ 9 = 24
Number of stickers that Adam have now
= 6 u + 50 + 1 u - 33
= 6 u + 1 u + 50 - 33
= 7 u + 17
= 7 x 24 + 17
= 168 + 17
= 185
Answer(s): 185