Question

A certain car can drive 119 miles on a tank of 5 gallons. A) how far can the car drive on 9 gallons? Round to the nearest mile. B) how many gallons are needed to drive 1190 miles? Round to the nearest tenth of a gallon.

Answer 1

Given:

A car can drive 119 miles on 5 gallons.

$\frac{119}{5}=23.8\text{ miles per gallon}$

So, car drive 23.8 miles per gallon.

A) For 9 gallons the distance covered by car is,

$\begin{gathered} \text{1 gallon}=23.8\text{ miles} \\ 9\text{ gallons=23.8}\times9\text{ =214.2 miles} \end{gathered}$

The car can drive 214.2 miles on 9 gallons.

B) For 1190 miles,

$\begin{gathered} \text{1 gallon}=23.8\text{ miles} \\ \frac{1}{x}=\frac{23.8}{1190} \\ x=\frac{1190}{23.8} \\ x=50 \end{gathered}$

The car will need 50 gallons to drive 1190 miles