The ratio of the number of red stickers to green stickers is 4 : 3.
After Adam gives away 23 red stickers and gives away 75 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 |
16 u |
4 u |
3 u |
27 u |
Change |
- 92 |
- 23 |
- 75 |
- 675 |
After |
36 p |
9 p |
4 p |
36 p |
4 u - 23 = 9 p --- (1)
3 u - 75 = 4 p --- (2)
Make p the same.
(1) x 4
16 u - 92 = 36 p --- (3)
(2) x 9
27 u - 675 = 36 p --- (4)
(4) = (3)
27 u - 675 = 16 u - 92
27 u - 16 u = 675 - 92
11 u = 583
1 u = 583 ÷ 11 = 53
Number of stickers that Adam has now
= 4 u - 23 + 3 u - 75
= 7 u - 98
= 7 x 53 - 98
= 371 - 98
= 273
Answer(s): 273