The ratio of the number of red stickers to green stickers is 8 : 3.
After Adam buys another 36 green stickers and gives away 16 red stickers,
the ratio becomes of the number of red stickers to green stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Red |
(2) Green |
Make p the same (2) x 4 = (4) |
Before |
24 u |
8 u |
3 u |
12 u |
Change |
- 48 |
- 16 |
+ 36 |
+ 144 |
After |
12 p |
4 p |
3 p |
12 p |
8 u + 36 = 4 p --- (1)
3 u - 16 = 3 p --- (2)
Make p the same.
(1)
x 324 u - 48 = 12 p --- (3)
(2)
x 412 u + 144 = 12 p --- (4)
(3) = (4)
24 u - 48 = 12 u + 144
24 u - 12 u = 48 + 144
12 u = 192
1 u = 192 ÷ 12 = 16
Number of stickers that Adam have now
= 8 u + 36 + 3 u - 16
= 8 u + 3 u + 36 - 16
= 11 u + 20
= 11 x 16 + 20
= 176 + 20
= 196
Answer(s): 196