There are 25% more black cards than white cards in a bag. After Ivan removed 20% of the black cards and increased the number of white cards by 35%, there are now 84 fewer black cards than white cards. Find the number of white cards at first.
|
Black |
White |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 1.4 u |
After |
4 u |
5.4 u |
Number of black cards in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of black cards that Ivan removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of white cards that Ivan increased
= 35% x 4 u
=
35100 x 4 u
= 1.4 u
Number of black cards in the end
= 5 u - 1 u
= 4 u
Number of white cards in the end
= 4 u + 1.4 u
= 5.4 u
Number of fewer black cards than white cards in the end
= 5.4 u - 4 u
= 1.4 u
1.4 u = 84
1 u = 84 ÷ 1.4 = 60
Number of white cards at first
= 4 u
= 4 x 60
= 240
Answer(s): 240