The ratio of the number of blue stickers to red stickers is 4 : 1.
After Adam buys another 39 red stickers and gives away 24 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 8 = (4) |
Before |
12 u |
4 u |
1 u |
8 u |
Change |
- 72 |
- 24 |
+ 39 |
+ 312 |
After |
24 p |
8 p |
3 p |
24 p |
4 u + 39 = 8 p --- (1)
1 u - 24 = 3 p --- (2)
Make p the same.
(1)
x 312 u - 72 = 24 p --- (3)
(2)
x 88 u + 312 = 24 p --- (4)
(3) = (4)
12 u - 72 = 8 u + 312
12 u - 8 u = 72 + 312
4 u = 384
1 u = 384 ÷ 4 = 96
Number of stickers that Adam have now
= 4 u + 39 + 1 u - 24
= 4 u + 1 u + 39 - 24
= 5 u + 15
= 5 x 96 + 15
= 480 + 15
= 495
Answer(s): 495