The ratio of the number of blue stickers to red stickers is 4 : 1.
After Adam buys another 32 red stickers and gives away 22 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 |
8 u |
4 u |
1 u |
5 u |
Change |
- 44 |
- 22 |
+ 32 |
+ 160 |
After |
10 p |
5 p |
2 p |
10 p |
4 u + 32 = 5 p --- (1)
1 u - 22 = 2 p --- (2)
Make p the same.
(1)
x 28 u - 44 = 10 p --- (3)
(2)
x 55 u + 160 = 10 p --- (4)
(3) = (4)
8 u - 44 = 5 u + 160
8 u - 5 u = 44 + 160
3 u = 204
1 u = 204 ÷ 3 = 68
Number of stickers that Adam have now
= 4 u + 32 + 1 u - 22
= 4 u + 1 u + 32 - 22
= 5 u + 10
= 5 x 68 + 10
= 340 + 10
= 350
Answer(s): 350