The ratio of the number of blue stickers to red stickers is 3 : 2.
After Adam gives away 11 blue stickers and gives away 48 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 7 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 7 = (4) |
Before |
12 u |
3 u |
2 u |
14 u |
Change |
- 44 |
- 11 |
- 48 |
- 336 |
After |
28 p |
7 p |
4 p |
28 p |
3 u - 11 = 7 p --- (1)
2 u - 48 = 4 p --- (2)
Make p the same.
(1) x 4
12 u - 44 = 28 p --- (3)
(2) x 7
14 u - 336 = 28 p --- (4)
(4) = (3)
14 u - 336 = 12 u - 44
14 u - 12 u = 336 - 44
2 u = 292
1 u = 292 ÷ 2 = 146
Number of stickers that Adam has now
= 3 u - 11 + 2 u - 48
= 5 u - 59
= 5 x 146 - 59
= 730 - 59
= 671
Answer(s): 671