There are 25% more grey erasers than white erasers in a bag. After Lee removed 20% of the grey erasers and increased the number of white erasers by 20%, there are now 56 fewer grey erasers than white erasers. Find the number of white erasers at first.
|
Grey |
White |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 0.8 u |
After |
4 u |
4.8 u |
Number of grey erasers in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of grey erasers that Lee removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of white erasers that Lee increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of grey erasers in the end
= 5 u - 1 u
= 4 u
Number of white erasers in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer grey erasers than white erasers in the end
= 4.8 u - 4 u
= 0.8 u
0.8 u = 56
1 u = 56 ÷ 0.8 = 70
Number of white erasers at first
= 4 u
= 4 x 70
= 280
Answer(s): 280