The ratio of the number of red stickers to blue stickers is 8 : 3.
After Adam gives away 54 red stickers and gives away 34 blue stickers,
the ratio becomes of the number of red stickers to blue stickers is 7 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Red |
(2) Blue |
Make p the same (2) x 7 = (4) |
Before |
16 u |
8 u |
3 u |
21 u |
Change |
- 108 |
- 54 |
- 34 |
- 238 |
After |
14 p |
7 p |
2 p |
14 p |
8 u - 54 = 7 p --- (1)
3 u - 34 = 2 p --- (2)
Make p the same.
(1) x 2
16 u - 108 = 14 p --- (3)
(2) x 7
21 u - 238 = 14 p --- (4)
(4) = (3)
21 u - 238 = 16 u - 108
21 u - 16 u = 238 - 108
5 u = 130
1 u = 130 ÷ 5 = 26
Number of stickers that Adam has now
= 8 u - 54 + 3 u - 34
= 11 u - 88
= 11 x 26 - 88
= 286 - 88
= 198
Answer(s): 198