Question

Filbert’s truck can travel 174 miles on 7.2 gallons of gas. How far can he travel in a full tank of 14 gallons of gas?

Answer 1

`338.33\text{ miles}`

Step-by-step explanation

To solve this problem, we have to apply proportions:

`\begin{gathered} 17\text{4miles=7.2gallons} \\ \Rightarrow\text{x miles = 14 gallons} \end{gathered}`

To find x, cross-multiply:

`\begin{gathered} x\cdot7.2=174\cdot14 \\ x=(174\cdot14)/(7.2) \\ x=338.33\text{ miles} \end{gathered}`

That is how far he can travel on a full tank of 14 gallons.