The ratio of the number of blue stickers to green stickers is 7 : 2.
After Adam buys another 32 green stickers and gives away 13 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 9 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 9 = (4) |
Before |
28 u |
7 u |
2 u |
18 u |
Change |
- 52 |
- 13 |
+ 32 |
+ 288 |
After |
36 p |
9 p |
4 p |
36 p |
7 u + 32 = 9 p --- (1)
2 u - 13 = 4 p --- (2)
Make p the same.
(1)
x 428 u - 52 = 36 p --- (3)
(2)
x 918 u + 288 = 36 p --- (4)
(3) = (4)
28 u - 52 = 18 u + 288
28 u - 18 u = 52 + 288
10 u = 340
1 u = 340 ÷ 10 = 34
Number of stickers that Adam have now
= 7 u + 32 + 2 u - 13
= 7 u + 2 u + 32 - 13
= 9 u + 19
= 9 x 34 + 19
= 306 + 19
= 325
Answer(s): 325