The ratio of the number of blue stickers to green stickers is 4 : 1.
After Adam buys another 33 green stickers and gives away 24 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 5 : 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 5 = (4) |
Before |
8 u |
4 u |
1 u |
5 u |
Change |
- 48 |
- 24 |
+ 33 |
+ 165 |
After |
10 p |
5 p |
2 p |
10 p |
4 u + 33 = 5 p --- (1)
1 u - 24 = 2 p --- (2)
Make p the same.
(1)
x 28 u - 48 = 10 p --- (3)
(2)
x 55 u + 165 = 10 p --- (4)
(3) = (4)
8 u - 48 = 5 u + 165
8 u - 5 u = 48 + 165
3 u = 213
1 u = 213 ÷ 3 = 71
Number of stickers that Adam have now
= 4 u + 33 + 1 u - 24
= 4 u + 1 u + 33 - 24
= 5 u + 9
= 5 x 71 + 9
= 355 + 9
= 364
Answer(s): 364