The ratio of the number of green stickers to red stickers is 7 : 3.
After Adam gives away 61 green stickers and gives away 87 red stickers,
the ratio becomes of the number of green stickers to red stickers is 8 : 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 8 = (4) |
Before |
21 u |
7 u |
3 u |
24 u |
Change |
- 183 |
- 61 |
- 87 |
- 696 |
After |
24 p |
8 p |
3 p |
24 p |
7 u - 61 = 8 p --- (1)
3 u - 87 = 3 p --- (2)
Make p the same.
(1) x 3
21 u - 183 = 24 p --- (3)
(2) x 8
24 u - 696 = 24 p --- (4)
(4) = (3)
24 u - 696 = 21 u - 183
24 u - 21 u = 696 - 183
3 u = 513
1 u = 513 ÷ 3 = 171
Number of stickers that Adam has now
= 7 u - 61 + 3 u - 87
= 10 u - 148
= 10 x 171 - 148
= 1710 - 148
= 1562
Answer(s): 1562