The ratio of the number of green stickers to blue stickers is 8 : 3.
After Adam buys another 27 blue stickers and gives away 13 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 7 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 7 = (4) |
Before |
24 u |
8 u |
3 u |
21 u |
Change |
- 39 |
- 13 |
+ 27 |
+ 189 |
After |
21 p |
7 p |
3 p |
21 p |
8 u + 27 = 7 p --- (1)
3 u - 13 = 3 p --- (2)
Make p the same.
(1)
x 324 u - 39 = 21 p --- (3)
(2)
x 721 u + 189 = 21 p --- (4)
(3) = (4)
24 u - 39 = 21 u + 189
24 u - 21 u = 39 + 189
3 u = 228
1 u = 228 ÷ 3 = 76
Number of stickers that Adam have now
= 8 u + 27 + 3 u - 13
= 8 u + 3 u + 27 - 13
= 11 u + 14
= 11 x 76 + 14
= 836 + 14
= 850
Answer(s): 850