The ratio of the number of red stickers to green stickers is 3 : 2.
After Adam gives away 29 red stickers and gives away 66 green stickers,
the ratio becomes of the number of red stickers to green stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Red |
(2) Green |
Make p the same (2) x 8 = (4) |
Before |
9 u |
3 u |
2 u |
16 u |
Change |
- 87 |
- 29 |
- 66 |
- 528 |
After |
24 p |
8 p |
3 p |
24 p |
3 u - 29 = 8 p --- (1)
2 u - 66 = 3 p --- (2)
Make p the same.
(1) x 3
9 u - 87 = 24 p --- (3)
(2) x 8
16 u - 528 = 24 p --- (4)
(4) = (3)
16 u - 528 = 9 u - 87
16 u - 9 u = 528 - 87
7 u = 441
1 u = 441 ÷ 7 = 63
Number of stickers that Adam has now
= 3 u - 29 + 2 u - 66
= 5 u - 95
= 5 x 63 - 95
= 315 - 95
= 220
Answer(s): 220