The ratio of the number of blue stickers to red stickers is 8 : 1.
After Adam buys another 34 red stickers and gives away 17 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 7 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 7 = (4) |
Before |
24 u |
8 u |
1 u |
7 u |
Change |
- 51 |
- 17 |
+ 34 |
+ 238 |
After |
21 p |
7 p |
3 p |
21 p |
8 u + 34 = 7 p --- (1)
1 u - 17 = 3 p --- (2)
Make p the same.
(1)
x 324 u - 51 = 21 p --- (3)
(2)
x 77 u + 238 = 21 p --- (4)
(3) = (4)
24 u - 51 = 7 u + 238
24 u - 7 u = 51 + 238
17 u = 289
1 u = 289 ÷ 17 = 17
Number of stickers that Adam have now
= 8 u + 34 + 1 u - 17
= 8 u + 1 u + 34 - 17
= 9 u + 17
= 9 x 17 + 17
= 153 + 17
= 170
Answer(s): 170