The ratio of the number of red stickers to blue stickers is 4 : 3.
After Adam gives away 65 red stickers and gives away 82 blue stickers,
the ratio becomes of the number of red stickers to blue stickers is 5 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Red |
(2) Blue |
Make p the same (2) x 5 = (4) |
Before |
8 u |
4 u |
3 u |
15 u |
Change |
- 130 |
- 65 |
- 82 |
- 410 |
After |
10 p |
5 p |
2 p |
10 p |
4 u - 65 = 5 p --- (1)
3 u - 82 = 2 p --- (2)
Make p the same.
(1) x 2
8 u - 130 = 10 p --- (3)
(2) x 5
15 u - 410 = 10 p --- (4)
(4) = (3)
15 u - 410 = 8 u - 130
15 u - 8 u = 410 - 130
7 u = 280
1 u = 280 ÷ 7 = 40
Number of stickers that Adam has now
= 4 u - 65 + 3 u - 82
= 7 u - 147
= 7 x 40 - 147
= 280 - 147
= 133
Answer(s): 133