There are 25% more red marbles than pink marbles in a bag. After Mark removed 40% of the red marbles and increased the number of pink marbles by 35%, there are now 96 fewer red marbles than pink marbles. Find the number of pink marbles at first.
|
Red |
Pink |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 1.4 u |
After |
3 u |
5.4 u |
Number of red marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of red marbles that Mark removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of pink marbles that Mark increased
= 35% x 4 u
=
35100 x 4 u
= 1.4 u
Number of red marbles in the end
= 5 u - 2 u
= 3 u
Number of pink marbles in the end
= 4 u + 1.4 u
= 5.4 u
Number of fewer red marbles than pink marbles in the end
= 5.4 u - 3 u
= 2.4 u
2.4 u = 96
1 u = 96 ÷ 2.4 = 40
Number of pink marbles at first
= 4 u
= 4 x 40
= 160
Answer(s): 160