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A van travels 150 miles on 6 gallons of gas.How many gallons will it need to travel 325 miles?

Sagot :

Answer:

13

Explanation:

The Ratio of miles traveled to gallons of gas used is

[tex]\frac{150}{6}[/tex]

and if we call x the number of gallons required to travel 325 miles, then the ratio of miles travelled to the number of gallons is

[tex]\frac{325}{x}[/tex]

this must equal 150/6; therefore,

[tex]\frac{150}{6}=\frac{325}{x}[/tex]

Cross multipication gives

[tex]150x=325\cdot6[/tex]

dividing both sides by 150 gives

[tex]x=\frac{325\cdot6}{150}[/tex]

which simplifies to give

[tex]\boxed{x=13}[/tex]

which is our answer!

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