The ratio of the number of blue stickers to green stickers is 3 : 1.
After Adam buys another 37 green stickers and gives away 29 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 |
9 u |
3 u |
1 u |
4 u |
Change |
- 87 |
- 29 |
+ 37 |
+ 148 |
After |
12 p |
4 p |
3 p |
12 p |
3 u + 37 = 4 p --- (1)
1 u - 29 = 3 p --- (2)
Make p the same.
(1)
x 39 u - 87 = 12 p --- (3)
(2)
x 44 u + 148 = 12 p --- (4)
(3) = (4)
9 u - 87 = 4 u + 148
9 u - 4 u = 87 + 148
5 u = 235
1 u = 235 ÷ 5 = 47
Number of stickers that Adam have now
= 3 u + 37 + 1 u - 29
= 3 u + 1 u + 37 - 29
= 4 u + 8
= 4 x 47 + 8
= 188 + 8
= 196
Answer(s): 196