The ratio of the number of blue stickers to green stickers is 3 : 2.
After Adam gives away 11 blue stickers and gives away 82 green stickers,
the ratio becomes of the number of blue stickers to green stickers is 5 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 5 = (4) |
Before |
6 u |
3 u |
2 u |
10 u |
Change |
- 22 |
- 11 |
- 82 |
- 410 |
After |
10 p |
5 p |
2 p |
10 p |
3 u - 11 = 5 p --- (1)
2 u - 82 = 2 p --- (2)
Make p the same.
(1) x 2
6 u - 22 = 10 p --- (3)
(2) x 5
10 u - 410 = 10 p --- (4)
(4) = (3)
10 u - 410 = 6 u - 22
10 u - 6 u = 410 - 22
4 u = 388
1 u = 388 ÷ 4 = 97
Number of stickers that Adam has now
= 3 u - 11 + 2 u - 82
= 5 u - 93
= 5 x 97 - 93
= 485 - 93
= 392
Answer(s): 392