The ratio of the number of green stickers to blue stickers is 7 : 2.
After Adam buys another 26 blue stickers and gives away 14 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 7 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 7 = (4) |
Before |
28 u |
7 u |
2 u |
14 u |
Change |
- 56 |
- 14 |
+ 26 |
+ 182 |
After |
28 p |
7 p |
4 p |
28 p |
7 u + 26 = 7 p --- (1)
2 u - 14 = 4 p --- (2)
Make p the same.
(1)
x 428 u - 56 = 28 p --- (3)
(2)
x 714 u + 182 = 28 p --- (4)
(3) = (4)
28 u - 56 = 14 u + 182
28 u - 14 u = 56 + 182
14 u = 238
1 u = 238 ÷ 14 = 17
Number of stickers that Adam have now
= 7 u + 26 + 2 u - 14
= 7 u + 2 u + 26 - 14
= 9 u + 12
= 9 x 17 + 12
= 153 + 12
= 165
Answer(s): 165