There are 25% more green cards than black cards in a bag. After Ryan removed 20% of the green cards and increased the number of black cards by 30%, there are now 144 fewer green cards than black cards. Find the number of black cards at first.
|
Green |
Black |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 1.2 u |
After |
4 u |
5.2 u |
Number of green cards in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of green cards that Ryan removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of black cards that Ryan increased
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of green cards in the end
= 5 u - 1 u
= 4 u
Number of black cards in the end
= 4 u + 1.2 u
= 5.2 u
Number of fewer green cards than black cards in the end
= 5.2 u - 4 u
= 1.2 u
1.2 u = 144
1 u = 144 ÷ 1.2 = 120
Number of black cards at first
= 4 u
= 4 x 120
= 480
Answer(s): 480