Respuesta :
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
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
[tex]12:150::x:500\\[/tex]
Product of mean = Product of extreme
[tex]150*x=500*12\\150x=6000[/tex]
Dividing both sides by 150
[tex]\frac{150x}{150}=\frac{6000}{150}\\x=40[/tex]
40 gallons of gasoline are needed to travel 500 miles.
Keywords: ratio, proportion
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