There are 25% more purple marbles than silver marbles in a bag. After Nick removed 40% of the purple marbles and increased the number of silver marbles by 10%, there are now 70 fewer purple marbles than silver marbles. Find the number of silver marbles at first.
|
Purple |
Silver |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 0.4 u |
After |
3 u |
4.4 u |
Number of purple marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of purple marbles that Nick removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of silver marbles that Nick increased
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of purple marbles in the end
= 5 u - 2 u
= 3 u
Number of silver marbles in the end
= 4 u + 0.4 u
= 4.4 u
Number of fewer purple marbles than silver marbles in the end
= 4.4 u - 3 u
= 1.4 u
1.4 u = 70
1 u = 70 ÷ 1.4 = 50
Number of silver marbles at first
= 4 u
= 4 x 50
= 200
Answer(s): 200