The ratio of the number of green stickers to red stickers is 3 : 1.
After Adam buys another 26 red stickers and gives away 22 green stickers,
the ratio becomes of the number of green stickers to red stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 4 = (4) |
Before |
9 u |
3 u |
1 u |
4 u |
Change |
- 66 |
- 22 |
+ 26 |
+ 104 |
After |
12 p |
4 p |
3 p |
12 p |
3 u + 26 = 4 p --- (1)
1 u - 22 = 3 p --- (2)
Make p the same.
(1)
x 39 u - 66 = 12 p --- (3)
(2)
x 44 u + 104 = 12 p --- (4)
(3) = (4)
9 u - 66 = 4 u + 104
9 u - 4 u = 66 + 104
5 u = 170
1 u = 170 ÷ 5 = 34
Number of stickers that Adam have now
= 3 u + 26 + 1 u - 22
= 3 u + 1 u + 26 - 22
= 4 u + 4
= 4 x 34 + 4
= 136 + 4
= 140
Answer(s): 140