There are 25% more pink beads than white beads in a bag. After Reggie removed 20% of the pink beads and increased the number of white beads by 30%, there are now 96 fewer pink beads than white beads. Find the number of white beads at first.
|
Pink |
White |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 1.2 u |
After |
4 u |
5.2 u |
Number of pink beads in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of pink beads that Reggie removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of white beads that Reggie increased
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of pink beads in the end
= 5 u - 1 u
= 4 u
Number of white beads in the end
= 4 u + 1.2 u
= 5.2 u
Number of fewer pink beads than white beads in the end
= 5.2 u - 4 u
= 1.2 u
1.2 u = 96
1 u = 96 ÷ 1.2 = 80
Number of white beads at first
= 4 u
= 4 x 80
= 320
Answer(s): 320