The ratio of the number of green stickers to red stickers is 6 : 1.
After Adam buys another 31 red stickers and gives away 10 green stickers,
the ratio becomes of the number of green stickers to red stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 4 = (4) |
Before |
18 u |
6 u |
1 u |
4 u |
Change |
- 30 |
- 10 |
+ 31 |
+ 124 |
After |
12 p |
4 p |
3 p |
12 p |
6 u + 31 = 4 p --- (1)
1 u - 10 = 3 p --- (2)
Make p the same.
(1)
x 318 u - 30 = 12 p --- (3)
(2)
x 44 u + 124 = 12 p --- (4)
(3) = (4)
18 u - 30 = 4 u + 124
18 u - 4 u = 30 + 124
14 u = 154
1 u = 154 ÷ 14 = 11
Number of stickers that Adam have now
= 6 u + 31 + 1 u - 10
= 6 u + 1 u + 31 - 10
= 7 u + 21
= 7 x 11 + 21
= 77 + 21
= 98
Answer(s): 98