The ratio of the number of blue stickers to red stickers is 3 : 2.
After Adam gives away 64 blue stickers and gives away 32 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 7 : 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 7 = (4) |
Before |
6 u |
3 u |
2 u |
14 u |
Change |
- 128 |
- 64 |
- 32 |
- 224 |
After |
14 p |
7 p |
2 p |
14 p |
3 u - 64 = 7 p --- (1)
2 u - 32 = 2 p --- (2)
Make p the same.
(1) x 2
6 u - 128 = 14 p --- (3)
(2) x 7
14 u - 224 = 14 p --- (4)
(4) = (3)
14 u - 224 = 6 u - 128
14 u - 6 u = 224 - 128
8 u = 96
1 u = 96 ÷ 8 = 12
Number of stickers that Adam has now
= 3 u - 64 + 2 u - 32
= 5 u - 96
= 5 x 12 - 96
= 60 - 96
= -36
Answer(s): -36