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Readme [11.4K]
3 years ago
6

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

Mathematics
2 answers:
Digiron [165]3 years ago
7 0

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.

Keywords: ratio, proportion

Learn more about ratio at:

  • brainly.com/question/12863750
  • brainly.com/question/12878495

#LearnwithBrainly

dolphi86 [110]3 years ago
6 0

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

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From the question, we understand that:

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