The ratio of the number of blue stickers to red stickers is 4 : 3.
After Adam gives away 46 blue stickers and gives away 31 red 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 |
3 u |
15 u |
Change |
- 92 |
- 46 |
- 31 |
- 155 |
After |
10 p |
5 p |
2 p |
10 p |
4 u - 46 = 5 p --- (1)
3 u - 31 = 2 p --- (2)
Make p the same.
(1) x 2
8 u - 92 = 10 p --- (3)
(2) x 5
15 u - 155 = 10 p --- (4)
(4) = (3)
15 u - 155 = 8 u - 92
15 u - 8 u = 155 - 92
7 u = 63
1 u = 63 ÷ 7 = 9
Number of stickers that Adam has now
= 4 u - 46 + 3 u - 31
= 7 u - 77
= 7 x 9 - 77
= 63 - 77
= -14
Answer(s): -14