Zara drove 168 miles on 8 gallons of gas. She had 155 miles leftto complete her trip. How many more gallons of gas would she need?a. 7.2 galb. 7.4 galc. 7.6 gald. 7.8 gal

Respuesta :

Answer:

B. 7.4 gal

Explanation:

Let x represent the number of gallons of gas needed to complete the trip.

Given that Zara drove 168 miles on 8 gallons of gas, if she had 155 miles left to complete her trip, we can go ahead and determine x by setting up proportions as shown below;

[tex]\frac{168\text{ miles}}{8\text{ gallons}}=\frac{155\text{ miles}}{x\text{ gallons}}[/tex]

If we cross multiply, we'll have;

[tex]\begin{gathered} 168x=155\times8 \\ 168x=1240 \end{gathered}[/tex]

Let's now divide both sides of the equation by 168;

[tex]\begin{gathered} \frac{168x}{168}=\frac{1240}{168} \\ x=7.4\text{ gal} \end{gathered}[/tex]

Therefore, Zara would need 7.4 gallons of gas to complete her trip.

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