There are 25% more black marbles than silver marbles in a bag. After Japheth removed 40% of the black marbles and increased the number of silver marbles by 35%, there are now 96 fewer black marbles than silver marbles. Find the number of silver marbles at first.
|
Black |
Silver |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 1.4 u |
After |
3 u |
5.4 u |
Number of black marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of black marbles that Japheth removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of silver marbles that Japheth increased
= 35% x 4 u
=
35100 x 4 u
= 1.4 u
Number of black marbles in the end
= 5 u - 2 u
= 3 u
Number of silver marbles in the end
= 4 u + 1.4 u
= 5.4 u
Number of fewer black marbles than silver marbles in the end
= 5.4 u - 3 u
= 2.4 u
2.4 u = 96
1 u = 96 ÷ 2.4 = 40
Number of silver marbles at first
= 4 u
= 4 x 40
= 160
Answer(s): 160