There are 25% more purple marbles than pink marbles in a bag. After Gabriel removed 40% of the purple marbles and increased the number of pink marbles by 20%, there are now 54 fewer purple marbles than pink marbles. Find the number of pink marbles at first.
|
Purple |
Pink |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.8 u |
After |
3 u |
4.8 u |
Number of purple marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of purple marbles that Gabriel removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of pink marbles that Gabriel increased
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of purple marbles in the end
= 5 u - 2 u
= 3 u
Number of pink marbles in the end
= 4 u + 0.8 u
= 4.8 u
Number of fewer purple marbles than pink marbles in the end
= 4.8 u - 3 u
= 1.8 u
1.8 u = 54
1 u = 54 ÷ 1.8 = 30
Number of pink marbles at first
= 4 u
= 4 x 30
= 120
Answer(s): 120