The ratio of the number of green stickers to red stickers is 8 : 3.
After Adam buys another 43 red stickers and gives away 27 green stickers,
the ratio becomes of the number of green stickers to red stickers is 5 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 5 = (4) |
Before |
32 u |
8 u |
3 u |
15 u |
Change |
- 108 |
- 27 |
+ 43 |
+ 215 |
After |
20 p |
5 p |
4 p |
20 p |
8 u + 43 = 5 p --- (1)
3 u - 27 = 4 p --- (2)
Make p the same.
(1)
x 432 u - 108 = 20 p --- (3)
(2)
x 515 u + 215 = 20 p --- (4)
(3) = (4)
32 u - 108 = 15 u + 215
32 u - 15 u = 108 + 215
17 u = 323
1 u = 323 ÷ 17 = 19
Number of stickers that Adam have now
= 8 u + 43 + 3 u - 27
= 8 u + 3 u + 43 - 27
= 11 u + 16
= 11 x 19 + 16
= 209 + 16
= 225
Answer(s): 225