The ratio of the number of blue stickers to red stickers is 6 : 1.
After Adam buys another 46 red stickers and gives away 42 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 9 : 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 9 = (4) |
Before |
12 u |
6 u |
1 u |
9 u |
Change |
- 84 |
- 42 |
+ 46 |
+ 414 |
After |
18 p |
9 p |
2 p |
18 p |
6 u + 46 = 9 p --- (1)
1 u - 42 = 2 p --- (2)
Make p the same.
(1)
x 212 u - 84 = 18 p --- (3)
(2)
x 99 u + 414 = 18 p --- (4)
(3) = (4)
12 u - 84 = 9 u + 414
12 u - 9 u = 84 + 414
3 u = 498
1 u = 498 ÷ 3 = 166
Number of stickers that Adam have now
= 6 u + 46 + 1 u - 42
= 6 u + 1 u + 46 - 42
= 7 u + 4
= 7 x 166 + 4
= 1162 + 4
= 1166
Answer(s): 1166