There are 25% more yellow cards than brown cards in a bag. After Riordan removed 40% of the yellow cards and increased the number of brown cards by 30%, there are now 176 fewer yellow cards than brown cards. Find the number of brown cards at first.
|
Yellow |
Brown |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 1.2 u |
After |
3 u |
5.2 u |
Number of yellow cards in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of yellow cards that Riordan removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of brown cards that Riordan increased
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of yellow cards in the end
= 5 u - 2 u
= 3 u
Number of brown cards in the end
= 4 u + 1.2 u
= 5.2 u
Number of fewer yellow cards than brown cards in the end
= 5.2 u - 3 u
= 2.2 u
2.2 u = 176
1 u = 176 ÷ 2.2 = 80
Number of brown cards at first
= 4 u
= 4 x 80
= 320
Answer(s): 320