There are 25% more pink marbles than brown marbles in a bag. After John removed 20% of the pink marbles and increased the number of brown marbles by 20%, there are now 40 fewer pink marbles than brown marbles. Find the number of brown marbles at first.
|
Pink |
Brown |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 0.8 u |
After |
4 u |
4.8 u |
Number of pink marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of pink marbles that John removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of brown marbles that John increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of pink marbles in the end
= 5 u - 1 u
= 4 u
Number of brown marbles in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer pink marbles than brown marbles in the end
= 4.8 u - 4 u
= 0.8 u
0.8 u = 40
1 u = 40 ÷ 0.8 = 50
Number of brown marbles at first
= 4 u
= 4 x 50
= 200
Answer(s): 200