The ratio of the number of blue stickers to green stickers is 7 : 2.
After Adam buys another 50 green stickers and gives away 33 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 4 = (4) |
Before |
21 u |
7 u |
2 u |
8 u |
Change |
- 99 |
- 33 |
+ 50 |
+ 200 |
After |
12 p |
4 p |
3 p |
12 p |
7 u + 50 = 4 p --- (1)
2 u - 33 = 3 p --- (2)
Make p the same.
(1)
x 321 u - 99 = 12 p --- (3)
(2)
x 48 u + 200 = 12 p --- (4)
(3) = (4)
21 u - 99 = 8 u + 200
21 u - 8 u = 99 + 200
13 u = 299
1 u = 299 ÷ 13 = 23
Number of stickers that Adam have now
= 7 u + 50 + 2 u - 33
= 7 u + 2 u + 50 - 33
= 9 u + 17
= 9 x 23 + 17
= 207 + 17
= 224
Answer(s): 224