The ratio of the number of blue stickers to red stickers is 5 : 1.
After Adam buys another 45 red stickers and gives away 10 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 5 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 5 = (4) |
Before |
10 u |
5 u |
1 u |
5 u |
Change |
- 20 |
- 10 |
+ 45 |
+ 225 |
After |
10 p |
5 p |
2 p |
10 p |
5 u + 45 = 5 p --- (1)
1 u - 10 = 2 p --- (2)
Make p the same.
(1)
x 210 u - 20 = 10 p --- (3)
(2)
x 55 u + 225 = 10 p --- (4)
(3) = (4)
10 u - 20 = 5 u + 225
10 u - 5 u = 20 + 225
5 u = 245
1 u = 245 ÷ 5 = 49
Number of stickers that Adam have now
= 5 u + 45 + 1 u - 10
= 5 u + 1 u + 45 - 10
= 6 u + 35
= 6 x 49 + 35
= 294 + 35
= 329
Answer(s): 329