The ratio of the number of blue stickers to green stickers is 3 : 1.
After Adam gives away 24 blue stickers and gives away 78 green stickers,
the ratio becomes of the number of blue stickers to green stickers is 9 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 9 = (4) |
Before |
6 u |
3 u |
1 u |
9 u |
Change |
- 48 |
- 24 |
- 78 |
- 702 |
After |
18 p |
9 p |
2 p |
18 p |
3 u - 24 = 9 p --- (1)
1 u - 78 = 2 p --- (2)
Make p the same.
(1) x 2
6 u - 48 = 18 p --- (3)
(2) x 9
9 u - 702 = 18 p --- (4)
(4) = (3)
9 u - 702 = 6 u - 48
9 u - 6 u = 702 - 48
3 u = 654
1 u = 654 ÷ 3 = 218
Number of stickers that Adam has now
= 3 u - 24 + 1 u - 78
= 4 u - 102
= 4 x 218 - 102
= 872 - 102
= 770
Answer(s): 770