There are 25% more brown erasers than silver erasers in a bag. After Zeph removed 40% of the brown erasers and increased the number of silver erasers by 20%, there are now 198 fewer brown erasers than silver erasers. Find the number of silver erasers at first.
|
Brown |
Silver |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.8 u |
After |
3 u |
4.8 u |
Number of brown erasers in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of brown erasers that Zeph removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of silver erasers that Zeph increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of brown erasers in the end
= 5 u - 2 u
= 3 u
Number of silver erasers in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer brown erasers than silver erasers in the end
= 4.8 u - 3 u
= 1.8 u
1.8 u = 198
1 u = 198 ÷ 1.8 = 110
Number of silver erasers at first
= 4 u
= 4 x 110
= 440
Answer(s): 440