The ratio of the number of red stickers to blue stickers is 7 : 3.
After Adam gives away 11 red stickers and gives away 53 blue stickers,
the ratio becomes of the number of red stickers to blue stickers is 9 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Red |
(2) Blue |
Make p the same (2) x 9 = (4) |
Before |
14 u |
7 u |
3 u |
27 u |
Change |
- 22 |
- 11 |
- 53 |
- 477 |
After |
18 p |
9 p |
2 p |
18 p |
7 u - 11 = 9 p --- (1)
3 u - 53 = 2 p --- (2)
Make p the same.
(1) x 2
14 u - 22 = 18 p --- (3)
(2) x 9
27 u - 477 = 18 p --- (4)
(4) = (3)
27 u - 477 = 14 u - 22
27 u - 14 u = 477 - 22
13 u = 455
1 u = 455 ÷ 13 = 35
Number of stickers that Adam has now
= 7 u - 11 + 3 u - 53
= 10 u - 64
= 10 x 35 - 64
= 350 - 64
= 286
Answer(s): 286