Answer:
250 days.
Step-by-step explanation:
Let x represent number of days.
We have been given that of the 2,500 tons of ore mined daily at a quarry, 0.4 percent results in a certain pure metal.
Let us find the amount of pure metal by calculating 0.4% of 2500.
[tex]\text{Amount of pure metal}=2500\times \frac{0.4}{100}[/tex]
[tex]\text{Amount of pure metal}=2500\times 0.004[/tex]
[tex]\text{Amount of pure metal}=10[/tex]
Amount of pure metal mined in x days will be [tex]10x[/tex].
Since we need total pure metal production equal to 2500 ton, so we can set an equation as:
[tex]10x=2500[/tex]
[tex]\frac{10x}{10}=\frac{2500}{10}[/tex]
[tex]x=250[/tex]
Therefore, it will take 250 days of mining for the total amount of pure metal produced at the quarry to be equal to the daily amount of ore mined.
