The ratio of the number of blue stickers to green stickers is 5 : 2.
After Adam buys another 48 green stickers and gives away 38 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 3 : 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 3 = (4) |
Before |
10 u |
5 u |
2 u |
6 u |
Change |
- 76 |
- 38 |
+ 48 |
+ 144 |
After |
6 p |
3 p |
2 p |
6 p |
5 u + 48 = 3 p --- (1)
2 u - 38 = 2 p --- (2)
Make p the same.
(1)
x 210 u - 76 = 6 p --- (3)
(2)
x 36 u + 144 = 6 p --- (4)
(3) = (4)
10 u - 76 = 6 u + 144
10 u - 6 u = 76 + 144
4 u = 220
1 u = 220 ÷ 4 = 55
Number of stickers that Adam have now
= 5 u + 48 + 2 u - 38
= 5 u + 2 u + 48 - 38
= 7 u + 10
= 7 x 55 + 10
= 385 + 10
= 395
Answer(s): 395