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

250 days.

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* (0.4)/(100)`

`\text{Amount of pure metal}=2500* 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`

`(10x)/(10)=(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.