The ratio of the number of blue stickers to red stickers is 5 : 3.
After Adam gives away 50 blue stickers and gives away 47 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 5 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 5 = (4) |
Before |
10 u |
5 u |
3 u |
15 u |
Change |
- 100 |
- 50 |
- 47 |
- 235 |
After |
10 p |
5 p |
2 p |
10 p |
5 u - 50 = 5 p --- (1)
3 u - 47 = 2 p --- (2)
Make p the same.
(1) x 2
10 u - 100 = 10 p --- (3)
(2) x 5
15 u - 235 = 10 p --- (4)
(4) = (3)
15 u - 235 = 10 u - 100
15 u - 10 u = 235 - 100
5 u = 135
1 u = 135 ÷ 5 = 27
Number of stickers that Adam has now
= 5 u - 50 + 3 u - 47
= 8 u - 97
= 8 x 27 - 97
= 216 - 97
= 119
Answer(s): 119