The ratio of the number of green stickers to blue stickers is 8 : 3.
After Adam gives away 24 green stickers and gives away 44 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 7 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 7 = (4) |
Before |
16 u |
8 u |
3 u |
21 u |
Change |
- 48 |
- 24 |
- 44 |
- 308 |
After |
14 p |
7 p |
2 p |
14 p |
8 u - 24 = 7 p --- (1)
3 u - 44 = 2 p --- (2)
Make p the same.
(1) x 2
16 u - 48 = 14 p --- (3)
(2) x 7
21 u - 308 = 14 p --- (4)
(4) = (3)
21 u - 308 = 16 u - 48
21 u - 16 u = 308 - 48
5 u = 260
1 u = 260 ÷ 5 = 52
Number of stickers that Adam has now
= 8 u - 24 + 3 u - 44
= 11 u - 68
= 11 x 52 - 68
= 572 - 68
= 504
Answer(s): 504