The ratio of the number of green stickers to blue stickers is 4 : 1.
After Adam buys another 14 blue stickers and gives away 12 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 8 = (4) |
Before |
12 u |
4 u |
1 u |
8 u |
Change |
- 36 |
- 12 |
+ 14 |
+ 112 |
After |
24 p |
8 p |
3 p |
24 p |
4 u + 14 = 8 p --- (1)
1 u - 12 = 3 p --- (2)
Make p the same.
(1)
x 312 u - 36 = 24 p --- (3)
(2)
x 88 u + 112 = 24 p --- (4)
(3) = (4)
12 u - 36 = 8 u + 112
12 u - 8 u = 36 + 112
4 u = 148
1 u = 148 ÷ 4 = 37
Number of stickers that Adam have now
= 4 u + 14 + 1 u - 12
= 4 u + 1 u + 14 - 12
= 5 u + 2
= 5 x 37 + 2
= 185 + 2
= 187
Answer(s): 187