Question

If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.

Answer 1

The cost of 1kg of coal mined from the ore is $0.0397

Data;

• 1 ton = $35.99
• 1kg = ?

The Cost of 1kg of Coal

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

$1ton = 907kg$

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

$907kg = \ 35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \ 0.0397$

The cost of 1kg of coal is $0.0397

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