The ratio of the number of blue stickers to green stickers is 5 : 3.
After Adam gives away 31 blue stickers and gives away 73 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 |
10 u |
5 u |
3 u |
27 u |
Change |
- 62 |
- 31 |
- 73 |
- 657 |
After |
18 p |
9 p |
2 p |
18 p |
5 u - 31 = 9 p --- (1)
3 u - 73 = 2 p --- (2)
Make p the same.
(1) x 2
10 u - 62 = 18 p --- (3)
(2) x 9
27 u - 657 = 18 p --- (4)
(4) = (3)
27 u - 657 = 10 u - 62
27 u - 10 u = 657 - 62
17 u = 595
1 u = 595 ÷ 17 = 35
Number of stickers that Adam has now
= 5 u - 31 + 3 u - 73
= 8 u - 104
= 8 x 35 - 104
= 280 - 104
= 176
Answer(s): 176