There are 25% more silver beads than yellow beads in a bag. After Carl removed 40% of the silver beads and increased the number of yellow beads by 35%, there are now 264 fewer silver beads than yellow beads. Find the number of yellow beads at first.
|
Silver |
Yellow |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 1.4 u |
After |
3 u |
5.4 u |
Number of silver beads in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of silver beads that Carl removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of yellow beads that Carl increased
= 35% x 4 u
=
35100 x 4 u
= 1.4 u
Number of silver beads in the end
= 5 u - 2 u
= 3 u
Number of yellow beads in the end
= 4 u + 1.4 u
= 5.4 u
Number of fewer silver beads than yellow beads in the end
= 5.4 u - 3 u
= 2.4 u
2.4 u = 264
1 u = 264 ÷ 2.4 = 110
Number of yellow beads at first
= 4 u
= 4 x 110
= 440
Answer(s): 440