There are 25% more grey marbles than gold marbles in a bag. After Ben removed 40% of the grey marbles and increased the number of gold marbles by 35%, there are now 168 fewer grey marbles than gold marbles. Find the number of gold marbles at first.
|
Grey |
Gold |
Before |
5 u |
4 u |
Change |
- 2 u |
+ 1.4 u |
After |
3 u |
5.4 u |
Number of grey marbles in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of grey marbles that Ben removed
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of gold marbles that Ben increased
= 35% x 4 u
=
35100 x 4 u
= 1.4 u
Number of grey marbles in the end
= 5 u - 2 u
= 3 u
Number of gold marbles in the end
= 4 u + 1.4 u
= 5.4 u
Number of fewer grey marbles than gold marbles in the end
= 5.4 u - 3 u
= 2.4 u
2.4 u = 168
1 u = 168 ÷ 2.4 = 70
Number of gold marbles at first
= 4 u
= 4 x 70
= 280
Answer(s): 280