the price of gravel is $24 for every 3/8 ton. kate wants to know the price of 2 tons of gravel. at that…

Explanation:

Step1: Find price per ton

First, find the price per 1 - ton of gravel. If $\frac{3}{8}$ ton costs $24$, then the price per ton $x$ can be found using the proportion. Let the price per ton be $x$. We have $\frac{24}{\frac{3}{8}}=x$. By the rule of dividing by a fraction ($a\div\frac{b}{c}=a\times\frac{c}{b}$), $x = 24\times\frac{8}{3}=64$.

Step2: Calculate price for 2 tons

Now that the price per ton is $64$, for 2 tons, the price $y$ is $y = 64\times2$. So $y=128$.

Answer:

128