The ratio of the number of blue stickers to green stickers is 8 : 1.
After Adam buys another 36 green stickers and gives away 11 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 3 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 3 = (4) |
Before |
16 u |
8 u |
1 u |
3 u |
Change |
- 22 |
- 11 |
+ 36 |
+ 108 |
After |
6 p |
3 p |
2 p |
6 p |
8 u + 36 = 3 p --- (1)
1 u - 11 = 2 p --- (2)
Make p the same.
(1)
x 216 u - 22 = 6 p --- (3)
(2)
x 33 u + 108 = 6 p --- (4)
(3) = (4)
16 u - 22 = 3 u + 108
16 u - 3 u = 22 + 108
13 u = 130
1 u = 130 ÷ 13 = 10
Number of stickers that Adam have now
= 8 u + 36 + 1 u - 11
= 8 u + 1 u + 36 - 11
= 9 u + 25
= 9 x 10 + 25
= 90 + 25
= 115
Answer(s): 115