The ratio of the number of green stickers to blue stickers is 8 : 3.
After Adam gives away 88 green stickers and gives away 22 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 9 : 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 9 = (4) |
Before |
16 u |
8 u |
3 u |
27 u |
Change |
- 176 |
- 88 |
- 22 |
- 198 |
After |
18 p |
9 p |
2 p |
18 p |
8 u - 88 = 9 p --- (1)
3 u - 22 = 2 p --- (2)
Make p the same.
(1) x 2
16 u - 176 = 18 p --- (3)
(2) x 9
27 u - 198 = 18 p --- (4)
(4) = (3)
27 u - 198 = 16 u - 176
27 u - 16 u = 198 - 176
11 u = 22
1 u = 22 ÷ 11 = 2
Number of stickers that Adam has now
= 8 u - 88 + 3 u - 22
= 11 u - 110
= 11 x 2 - 110
= 22 - 110
= -88
Answer(s): -88