The ratio of the number of green stickers to blue stickers is 3 : 1.
After Adam gives away 57 green stickers and gives away 27 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 9 : 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 9 = (4) |
Before |
6 u |
3 u |
1 u |
9 u |
Change |
- 114 |
- 57 |
- 27 |
- 243 |
After |
18 p |
9 p |
2 p |
18 p |
3 u - 57 = 9 p --- (1)
1 u - 27 = 2 p --- (2)
Make p the same.
(1) x 2
6 u - 114 = 18 p --- (3)
(2) x 9
9 u - 243 = 18 p --- (4)
(4) = (3)
9 u - 243 = 6 u - 114
9 u - 6 u = 243 - 114
3 u = 129
1 u = 129 ÷ 3 = 43
Number of stickers that Adam has now
= 3 u - 57 + 1 u - 27
= 4 u - 84
= 4 x 43 - 84
= 172 - 84
= 88
Answer(s): 88