The ratio of the number of blue stickers to green stickers is 8 : 1.
After Adam buys another 41 green stickers and gives away 13 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 5 : 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 5 = (4) |
Before |
16 u |
8 u |
1 u |
5 u |
Change |
- 26 |
- 13 |
+ 41 |
+ 205 |
After |
10 p |
5 p |
2 p |
10 p |
8 u + 41 = 5 p --- (1)
1 u - 13 = 2 p --- (2)
Make p the same.
(1)
x 216 u - 26 = 10 p --- (3)
(2)
x 55 u + 205 = 10 p --- (4)
(3) = (4)
16 u - 26 = 5 u + 205
16 u - 5 u = 26 + 205
11 u = 231
1 u = 231 ÷ 11 = 21
Number of stickers that Adam have now
= 8 u + 41 + 1 u - 13
= 8 u + 1 u + 41 - 13
= 9 u + 28
= 9 x 21 + 28
= 189 + 28
= 217
Answer(s): 217