The ratio of the number of green stickers to blue stickers is 3 : 2.
After Adam buys another 38 blue stickers and gives away 24 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 5 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 5 = (4) |
Before |
12 u |
3 u |
2 u |
10 u |
Change |
- 96 |
- 24 |
+ 38 |
+ 190 |
After |
20 p |
5 p |
4 p |
20 p |
3 u + 38 = 5 p --- (1)
2 u - 24 = 4 p --- (2)
Make p the same.
(1)
x 412 u - 96 = 20 p --- (3)
(2)
x 510 u + 190 = 20 p --- (4)
(3) = (4)
12 u - 96 = 10 u + 190
12 u - 10 u = 96 + 190
2 u = 286
1 u = 286 ÷ 2 = 143
Number of stickers that Adam have now
= 3 u + 38 + 2 u - 24
= 3 u + 2 u + 38 - 24
= 5 u + 14
= 5 x 143 + 14
= 715 + 14
= 729
Answer(s): 729