Question

A mine extracts 2 metric tons of coal in an hour. The mine uses   ton of the extracted coal every hour to generate electricity for the mine and sells the rest. If t is the number of hours spent mining, which expression represents the amount of ore sold? How much ore can the mine sell after extracting ore for 12 hours?

Answer 1

The expression is 2t−1/4t. The amount of ore is 21 metric tons.

Answer 2

a. 2.2t-1/4t=X

b. X=23.4 tons

Explanation:

A mine extracts 2 metric tons of coal in an hour. The mine uses 1/4 ton of the extracted coal every hour to generate electricity for the mine and sells the rest. If t is the number of hours spent mining, which expression represents the amount of ore sold? How much ore can the mine sell after extracting ore for 12 hours?

convert 2 metric tons to ton

2.2 tons/t hr

from the question

let time be t in hr

2.2t-1/4t=X

X=the amount sold

How much ore can the mine sell after extracting ore for 12 hours?

substituing the value of t into the equation

2.2*12-0.25*12

X=23.4 tons