The ratio of the number of blue stickers to red stickers is 3 : 1.
After Adam gives away 33 blue stickers and gives away 55 red 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 |
6 u |
3 u |
1 u |
9 u |
Change |
- 66 |
- 33 |
- 55 |
- 495 |
After |
18 p |
9 p |
2 p |
18 p |
3 u - 33 = 9 p --- (1)
1 u - 55 = 2 p --- (2)
Make p the same.
(1) x 2
6 u - 66 = 18 p --- (3)
(2) x 9
9 u - 495 = 18 p --- (4)
(4) = (3)
9 u - 495 = 6 u - 66
9 u - 6 u = 495 - 66
3 u = 429
1 u = 429 ÷ 3 = 143
Number of stickers that Adam has now
= 3 u - 33 + 1 u - 55
= 4 u - 88
= 4 x 143 - 88
= 572 - 88
= 484
Answer(s): 484