There are 25% more brown beads than gold beads in a bag. After Zane removed 40% of the brown beads and increased the number of gold beads by 30%, there are now 264 fewer brown beads than gold beads. Find the number of gold beads at first.
|
Brown |
Gold |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 1.2 u |
After |
3 u |
5.2 u |
Number of brown beads in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of brown beads that Zane removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of gold beads that Zane increased
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of brown beads in the end
= 5 u - 2 u
= 3 u
Number of gold beads in the end
= 4 u + 1.2 u
= 5.2 u
Number of fewer brown beads than gold beads in the end
= 5.2 u - 3 u
= 2.2 u
2.2 u = 264
1 u = 264 ÷ 2.2 = 120
Number of gold beads at first
= 4 u
= 4 x 120
= 480
Answer(s): 480