The ratio of the number of green stickers to blue stickers is 4 : 1.
After Adam buys another 50 blue stickers and gives away 31 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 5 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 5 = (4) |
Before |
8 u |
4 u |
1 u |
5 u |
Change |
- 62 |
- 31 |
+ 50 |
+ 250 |
After |
10 p |
5 p |
2 p |
10 p |
4 u + 50 = 5 p --- (1)
1 u - 31 = 2 p --- (2)
Make p the same.
(1)
x 28 u - 62 = 10 p --- (3)
(2)
x 55 u + 250 = 10 p --- (4)
(3) = (4)
8 u - 62 = 5 u + 250
8 u - 5 u = 62 + 250
3 u = 312
1 u = 312 ÷ 3 = 104
Number of stickers that Adam have now
= 4 u + 50 + 1 u - 31
= 4 u + 1 u + 50 - 31
= 5 u + 19
= 5 x 104 + 19
= 520 + 19
= 539
Answer(s): 539