The ratio of the number of red stickers to blue stickers is 3 : 2.
After Adam gives away 52 red stickers and gives away 86 blue stickers,
the ratio becomes of the number of red stickers to blue stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Red |
(2) Blue |
Make p the same (2) x 8 = (4) |
Before |
9 u |
3 u |
2 u |
16 u |
Change |
- 156 |
- 52 |
- 86 |
- 688 |
After |
24 p |
8 p |
3 p |
24 p |
3 u - 52 = 8 p --- (1)
2 u - 86 = 3 p --- (2)
Make p the same.
(1) x 3
9 u - 156 = 24 p --- (3)
(2) x 8
16 u - 688 = 24 p --- (4)
(4) = (3)
16 u - 688 = 9 u - 156
16 u - 9 u = 688 - 156
7 u = 532
1 u = 532 ÷ 7 = 76
Number of stickers that Adam has now
= 3 u - 52 + 2 u - 86
= 5 u - 138
= 5 x 76 - 138
= 380 - 138
= 242
Answer(s): 242