The ratio of the number of green stickers to blue stickers is 5 : 3.
After Adam gives away 30 green stickers and gives away 100 blue 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 |
10 u |
5 u |
3 u |
15 u |
Change |
- 60 |
- 30 |
- 100 |
- 500 |
After |
10 p |
5 p |
2 p |
10 p |
5 u - 30 = 5 p --- (1)
3 u - 100 = 2 p --- (2)
Make p the same.
(1) x 2
10 u - 60 = 10 p --- (3)
(2) x 5
15 u - 500 = 10 p --- (4)
(4) = (3)
15 u - 500 = 10 u - 60
15 u - 10 u = 500 - 60
5 u = 440
1 u = 440 ÷ 5 = 88
Number of stickers that Adam has now
= 5 u - 30 + 3 u - 100
= 8 u - 130
= 8 x 88 - 130
= 704 - 130
= 574
Answer(s): 574