There are 25% more yellow marbles than pink marbles in a bag. After Albert removed 20% of the yellow marbles and increased the number of pink marbles by 30%, there are now 60 fewer yellow marbles than pink marbles. Find the number of pink marbles at first.
|
Yellow |
Pink |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 1.2 u |
After |
4 u |
5.2 u |
Number of yellow marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of yellow marbles that Albert removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of pink marbles that Albert increased
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of yellow marbles in the end
= 5 u - 1 u
= 4 u
Number of pink marbles in the end
= 4 u + 1.2 u
= 5.2 u
Number of fewer yellow marbles than pink marbles in the end
= 5.2 u - 4 u
= 1.2 u
1.2 u = 60
1 u = 60 ÷ 1.2 = 50
Number of pink marbles at first
= 4 u
= 4 x 50
= 200
Answer(s): 200