The ratio of the number of blue stickers to red stickers is 6 : 1.
After Adam buys another 46 red stickers and gives away 29 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 7 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 7 = (4) |
Before |
12 u |
6 u |
1 u |
7 u |
Change |
- 58 |
- 29 |
+ 46 |
+ 322 |
After |
14 p |
7 p |
2 p |
14 p |
6 u + 46 = 7 p --- (1)
1 u - 29 = 2 p --- (2)
Make p the same.
(1)
x 212 u - 58 = 14 p --- (3)
(2)
x 77 u + 322 = 14 p --- (4)
(3) = (4)
12 u - 58 = 7 u + 322
12 u - 7 u = 58 + 322
5 u = 380
1 u = 380 ÷ 5 = 76
Number of stickers that Adam have now
= 6 u + 46 + 1 u - 29
= 6 u + 1 u + 46 - 29
= 7 u + 17
= 7 x 76 + 17
= 532 + 17
= 549
Answer(s): 549