The ratio of the number of green stickers to red stickers is 5 : 3.
After Adam gives away 48 green stickers and gives away 89 red stickers,
the ratio becomes of the number of green stickers to red stickers is 9 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 9 = (4) |
Before |
20 u |
5 u |
3 u |
27 u |
Change |
- 192 |
- 48 |
- 89 |
- 801 |
After |
36 p |
9 p |
4 p |
36 p |
5 u - 48 = 9 p --- (1)
3 u - 89 = 4 p --- (2)
Make p the same.
(1) x 4
20 u - 192 = 36 p --- (3)
(2) x 9
27 u - 801 = 36 p --- (4)
(4) = (3)
27 u - 801 = 20 u - 192
27 u - 20 u = 801 - 192
7 u = 609
1 u = 609 ÷ 7 = 87
Number of stickers that Adam has now
= 5 u - 48 + 3 u - 89
= 8 u - 137
= 8 x 87 - 137
= 696 - 137
= 559
Answer(s): 559