There are 25% more grey coins than blue coins in a bag. After Charlie removed 20% of the grey coins and increased the number of blue coins by 30%, there are now 120 fewer grey coins than blue coins. Find the number of blue coins at first.
|
Grey |
Blue |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 1.2 u |
After |
4 u |
5.2 u |
Number of grey coins in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of grey coins that Charlie removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of blue coins that Charlie increased
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of grey coins in the end
= 5 u - 1 u
= 4 u
Number of blue coins in the end
= 4 u + 1.2 u
= 5.2 u
Number of fewer grey coins than blue coins in the end
= 5.2 u - 4 u
= 1.2 u
1.2 u = 120
1 u = 120 ÷ 1.2 = 100
Number of blue coins at first
= 4 u
= 4 x 100
= 400
Answer(s): 400