There are 25% more green cards than black cards in a bag. After George removed 20% of the green cards and increased the number of black cards by 20%, there are now 16 fewer green cards than black cards. Find the number of black cards at first.
|
Green |
Black |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 0.8 u |
After |
4 u |
4.8 u |
Number of green cards in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of green cards that George removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of black cards that George increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of green cards in the end
= 5 u - 1 u
= 4 u
Number of black cards in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer green cards than black cards in the end
= 4.8 u - 4 u
= 0.8 u
0.8 u = 16
1 u = 16 ÷ 0.8 = 20
Number of black cards at first
= 4 u
= 4 x 20
= 80
Answer(s): 80