The ratio of the number of green stickers to red stickers is 3 : 2.
After Adam gives away 83 green stickers and gives away 98 red stickers,
the ratio becomes of the number of green stickers to red stickers is 5 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 5 = (4) |
Before |
6 u |
3 u |
2 u |
10 u |
Change |
- 166 |
- 83 |
- 98 |
- 490 |
After |
10 p |
5 p |
2 p |
10 p |
3 u - 83 = 5 p --- (1)
2 u - 98 = 2 p --- (2)
Make p the same.
(1) x 2
6 u - 166 = 10 p --- (3)
(2) x 5
10 u - 490 = 10 p --- (4)
(4) = (3)
10 u - 490 = 6 u - 166
10 u - 6 u = 490 - 166
4 u = 324
1 u = 324 ÷ 4 = 81
Number of stickers that Adam has now
= 3 u - 83 + 2 u - 98
= 5 u - 181
= 5 x 81 - 181
= 405 - 181
= 224
Answer(s): 224