The ratio of the number of green stickers to red stickers is 7 : 1.
After Adam buys another 32 red stickers and gives away 26 green stickers,
the ratio becomes of the number of green stickers to red stickers is 9 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 9 = (4) |
Before |
14 u |
7 u |
1 u |
9 u |
Change |
- 52 |
- 26 |
+ 32 |
+ 288 |
After |
18 p |
9 p |
2 p |
18 p |
7 u + 32 = 9 p --- (1)
1 u - 26 = 2 p --- (2)
Make p the same.
(1)
x 214 u - 52 = 18 p --- (3)
(2)
x 99 u + 288 = 18 p --- (4)
(3) = (4)
14 u - 52 = 9 u + 288
14 u - 9 u = 52 + 288
5 u = 340
1 u = 340 ÷ 5 = 68
Number of stickers that Adam have now
= 7 u + 32 + 1 u - 26
= 7 u + 1 u + 32 - 26
= 8 u + 6
= 8 x 68 + 6
= 544 + 6
= 550
Answer(s): 550