The ratio of the number of red stickers to green stickers is 5 : 3.
After Adam gives away 82 red stickers and gives away 45 green stickers,
the ratio becomes of the number of red stickers to green stickers is 9 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Red |
(2) Green |
Make p the same (2) x 9 = (4) |
Before |
20 u |
5 u |
3 u |
27 u |
Change |
- 328 |
- 82 |
- 45 |
- 405 |
After |
36 p |
9 p |
4 p |
36 p |
5 u - 82 = 9 p --- (1)
3 u - 45 = 4 p --- (2)
Make p the same.
(1) x 4
20 u - 328 = 36 p --- (3)
(2) x 9
27 u - 405 = 36 p --- (4)
(4) = (3)
27 u - 405 = 20 u - 328
27 u - 20 u = 405 - 328
7 u = 77
1 u = 77 ÷ 7 = 11
Number of stickers that Adam has now
= 5 u - 82 + 3 u - 45
= 8 u - 127
= 8 x 11 - 127
= 88 - 127
= -39
Answer(s): -39