Answer :

ANSWER

[tex]338.33\text{ miles}[/tex]

EXPLANATION

To solve this problem, we have to apply proportions:

[tex]\begin{gathered} 17\text{4miles=7.2gallons} \\ \Rightarrow\text{x miles = 14 gallons} \end{gathered}[/tex]

To find x, cross-multiply:

[tex]\begin{gathered} x\cdot7.2=174\cdot14 \\ x=\frac{174\cdot14}{7.2} \\ x=338.33\text{ miles} \end{gathered}[/tex]

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

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