There are 25% more pink cards than brown cards in a bag. After David removed 40% of the pink cards and increased the number of brown cards by 20%, there are now 108 fewer pink cards than brown cards. Find the number of brown cards at first.
|
Pink |
Brown |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.8 u |
After |
3 u |
4.8 u |
Number of pink cards in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of pink cards that David removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of brown cards that David increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of pink cards in the end
= 5 u - 2 u
= 3 u
Number of brown cards in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer pink cards than brown cards in the end
= 4.8 u - 3 u
= 1.8 u
1.8 u = 108
1 u = 108 ÷ 1.8 = 60
Number of brown cards at first
= 4 u
= 4 x 60
= 240
Answer(s): 240