tessa works for the park service in her town. she paid $21 for $\frac{3}{4}$ ton of woodchips to cover…

tessa works for the park service in her town. she paid $21 for $\frac{3}{4}$ ton of woodchips to cover flower beds in the park. she wants to know the cost of the woodchips in dollars per ton. what is the price per ton? $ per ton

tessa works for the park service in her town. she paid $21 for $\frac{3}{4}$ ton of woodchips to cover flower beds in the park. she wants to know the cost of the woodchips in dollars per ton. what is the price per ton? $ per ton

Answer

Explanation:

Step1: Set up the unit - rate formula

Let $x$ be the cost per ton. We know that cost is $21$ dollars for $\frac{3}{4}$ ton. The formula for unit - rate is $x=\frac{\text{total cost}}{\text{amount of woodchips}}$. So $x = \frac{21}{\frac{3}{4}}$.

Step2: Divide by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal. So $x=21\times\frac{4}{3}$.

Step3: Calculate the result

$21\times\frac{4}{3}=\frac{21\times4}{3}=\frac{84}{3}=28$.

Answer:

$28$