The ratio of the number of blue stickers to green stickers is 6 : 1.
After Adam buys another 46 green stickers and gives away 32 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 4 = (4) |
Before |
18 u |
6 u |
1 u |
4 u |
Change |
- 96 |
- 32 |
+ 46 |
+ 184 |
After |
12 p |
4 p |
3 p |
12 p |
6 u + 46 = 4 p --- (1)
1 u - 32 = 3 p --- (2)
Make p the same.
(1)
x 318 u - 96 = 12 p --- (3)
(2)
x 44 u + 184 = 12 p --- (4)
(3) = (4)
18 u - 96 = 4 u + 184
18 u - 4 u = 96 + 184
14 u = 280
1 u = 280 ÷ 14 = 20
Number of stickers that Adam have now
= 6 u + 46 + 1 u - 32
= 6 u + 1 u + 46 - 32
= 7 u + 14
= 7 x 20 + 14
= 140 + 14
= 154
Answer(s): 154