Question

A car travels 150 miles on 12 gallons of gasoline. How many gallons of gasoline are needed to travel 500 miles.

Answer 1

40 gallons of gasoline are needed to travel 500 miles.

Step-by-step explanation:

Given,

Distance traveled on 12 gallons = 150 miles

Ratio of gallons to distance = 12:150

Distance to travel = 500 miles

Let,

x be the gallons required for 500 miles.

Ratio of gallons to distance = x:500

Using proportion;

Ratio of gallons to distance :: Ratio of gallons to distance

$12:150::x:500$

Product of mean = Product of extreme

$150*x=500*12\\150x=6000$

Dividing both sides by 150

$\frac{150x}{150}=\frac{6000}{150}\\x=40$

40 gallons of gasoline are needed to travel 500 miles.

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Answer 2

Answer:

40 gallons

Step-by-step explanation:

Per find gasoline per mile first.

150 miles per 12 gallons of gasoline,

so we divide 12 by 150 to find gallons per mile.

Gallons per mile = 12/150 = 0.08 gallons per mile

Now, we need to find gallons for 500 miles. We simply multiply 0.08 gallons per mile by the number of miles, 500.

So,

500 * 0.08 = 40 gallons

So, 500 miles would require 40 gallons