The ratio of the number of blue stickers to green stickers is 5 : 3.
After Adam buys another 45 green stickers and gives away 10 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 4 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 4 = (4) |
Before |
15 u |
5 u |
3 u |
12 u |
Change |
- 30 |
- 10 |
+ 45 |
+ 180 |
After |
12 p |
4 p |
3 p |
12 p |
5 u + 45 = 4 p --- (1)
3 u - 10 = 3 p --- (2)
Make p the same.
(1)
x 315 u - 30 = 12 p --- (3)
(2)
x 412 u + 180 = 12 p --- (4)
(3) = (4)
15 u - 30 = 12 u + 180
15 u - 12 u = 30 + 180
3 u = 210
1 u = 210 ÷ 3 = 70
Number of stickers that Adam have now
= 5 u + 45 + 3 u - 10
= 5 u + 3 u + 45 - 10
= 8 u + 35
= 8 x 70 + 35
= 560 + 35
= 595
Answer(s): 595