The ratio of the number of green stickers to blue stickers is 5 : 3.
After Adam gives away 60 green stickers and gives away 62 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 |
- 120 |
- 60 |
- 62 |
- 310 |
After |
10 p |
5 p |
2 p |
10 p |
5 u - 60 = 5 p --- (1)
3 u - 62 = 2 p --- (2)
Make p the same.
(1) x 2
10 u - 120 = 10 p --- (3)
(2) x 5
15 u - 310 = 10 p --- (4)
(4) = (3)
15 u - 310 = 10 u - 120
15 u - 10 u = 310 - 120
5 u = 190
1 u = 190 ÷ 5 = 38
Number of stickers that Adam has now
= 5 u - 60 + 3 u - 62
= 8 u - 122
= 8 x 38 - 122
= 304 - 122
= 182
Answer(s): 182