There are 25% more pink marbles than brown marbles in a bag. After David removed 40% of the pink marbles and increased the number of brown marbles by 10%, there are now 84 fewer pink marbles than brown marbles. Find the number of brown marbles at first.
|
Pink |
Brown |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.4 u |
After |
3 u |
4.4 u |
Number of pink marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of pink marbles that David removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of brown marbles that David increased
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of pink marbles in the end
= 5 u - 2 u
= 3 u
Number of brown marbles in the end
= 4 u + 0.4 u
= 4.4 u
Number of fewer pink marbles than brown marbles in the end
= 4.4 u - 3 u
= 1.4 u
1.4 u = 84
1 u = 84 ÷ 1.4 = 60
Number of brown marbles at first
= 4 u
= 4 x 60
= 240
Answer(s): 240