There are 25% more silver stickers than purple stickers in a bag. After Asher removed 40% of the silver stickers and increased the number of purple stickers by 10%, there are now 112 fewer silver stickers than purple stickers. Find the number of purple stickers at first.
|
Silver |
Purple |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.4 u |
After |
3 u |
4.4 u |
Number of silver stickers in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of silver stickers that Asher removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of purple stickers that Asher increased
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of silver stickers in the end
= 5 u - 2 u
= 3 u
Number of purple stickers in the end
= 4 u + 0.4 u
= 4.4 u
Number of fewer silver stickers than purple stickers in the end
= 4.4 u - 3 u
= 1.4 u
1.4 u = 112
1 u = 112 ÷ 1.4 = 80
Number of purple stickers at first
= 4 u
= 4 x 80
= 320
Answer(s): 320