There are 25% more grey stamps than purple stamps in a bag. After Tommy removed 40% of the grey stamps and increased the number of purple stamps by 20%, there are now 144 fewer grey stamps than purple stamps. Find the number of purple stamps at first.
|
Grey |
Purple |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.8 u |
After |
3 u |
4.8 u |
Number of grey stamps in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of grey stamps that Tommy removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of purple stamps that Tommy increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of grey stamps in the end
= 5 u - 2 u
= 3 u
Number of purple stamps in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer grey stamps than purple stamps in the end
= 4.8 u - 3 u
= 1.8 u
1.8 u = 144
1 u = 144 ÷ 1.8 = 80
Number of purple stamps at first
= 4 u
= 4 x 80
= 320
Answer(s): 320