There are 25% more red beads than brown beads in a bag. After Daniel removed 20% of the red beads and increased the number of brown beads by 35%, there are now 56 fewer red beads than brown beads. Find the number of brown beads at first.
|
Red |
Brown |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 1.4 u |
After |
4 u |
5.4 u |
Number of red beads in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of red beads that Daniel removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of brown beads that Daniel increased
= 35% x 4 u
=
35100 x 4 u
= 1.4 u
Number of red beads in the end
= 5 u - 1 u
= 4 u
Number of brown beads in the end
= 4 u + 1.4 u
= 5.4 u
Number of fewer red beads than brown beads in the end
= 5.4 u - 4 u
= 1.4 u
1.4 u = 56
1 u = 56 ÷ 1.4 = 40
Number of brown beads at first
= 4 u
= 4 x 40
= 160
Answer(s): 160