Question

Of the 2,500 tons of ore mined daily at a quarry, 0.4 percent results in a certain pure metal. In how many days of mining will the total amount of pure metal produced at the quarry be equal to the daily amount of ore mined?

Answer 1

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.

$\text{Amount of pure metal}=2500\times \frac{0.4}{100}$

$\text{Amount of pure metal}=2500\times 0.004$

$\text{Amount of pure metal}=10$

Amount of pure metal mined in x days will be $10x$.

Since we need total pure metal production equal to 2500 ton, so we can set an equation as:

$10x=2500$

$\frac{10x}{10}=\frac{2500}{10}$

$x=250$

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.