The ratio of the number of blue stickers to green stickers is 7 : 3.
After Adam gives away 26 blue stickers and gives away 54 green stickers,
the ratio becomes of the number of blue stickers to green stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 8 = (4) |
Before |
21 u |
7 u |
3 u |
24 u |
Change |
- 78 |
- 26 |
- 54 |
- 432 |
After |
24 p |
8 p |
3 p |
24 p |
7 u - 26 = 8 p --- (1)
3 u - 54 = 3 p --- (2)
Make p the same.
(1) x 3
21 u - 78 = 24 p --- (3)
(2) x 8
24 u - 432 = 24 p --- (4)
(4) = (3)
24 u - 432 = 21 u - 78
24 u - 21 u = 432 - 78
3 u = 354
1 u = 354 ÷ 3 = 118
Number of stickers that Adam has now
= 7 u - 26 + 3 u - 54
= 10 u - 80
= 10 x 118 - 80
= 1180 - 80
= 1100
Answer(s): 1100