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A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? A) 171.8 miles B) 340.9 miles C) 363.6 miles D) 400.0 miles

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ANSWER

[tex]363.6 \: miles[/tex]
EXPLANATION

We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,

[tex]250 \: miles \equiv11 \: gallons[/tex]

Now we want to find how far he could go on 16 gallons.

[tex]x \: miles \equiv16 \: gallons[/tex]


All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.

Recall that: If more, less divides.

This implies that,

[tex]x = \frac{250 \times 16}{11} [/tex]




[tex]x = \frac{4000}{11} = 363.6 \: miles[/tex]


Therefore the correct answer is C.

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