The ratio of the number of green stickers to blue stickers is 5 : 1.
After Adam buys another 46 blue stickers and gives away 43 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 7 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 7 = (4) |
Before |
10 u |
5 u |
1 u |
7 u |
Change |
- 86 |
- 43 |
+ 46 |
+ 322 |
After |
14 p |
7 p |
2 p |
14 p |
5 u + 46 = 7 p --- (1)
1 u - 43 = 2 p --- (2)
Make p the same.
(1)
x 210 u - 86 = 14 p --- (3)
(2)
x 77 u + 322 = 14 p --- (4)
(3) = (4)
10 u - 86 = 7 u + 322
10 u - 7 u = 86 + 322
3 u = 408
1 u = 408 ÷ 3 = 136
Number of stickers that Adam have now
= 5 u + 46 + 1 u - 43
= 5 u + 1 u + 46 - 43
= 6 u + 3
= 6 x 136 + 3
= 816 + 3
= 819
Answer(s): 819