Please help. Sara drives 72 miles on 3.2 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Using this result, how many miles can Sara drive on 12.3 gallons of gas?

A. 27.675

B. 276.75

C. 1.83

D. 18.3

Respuesta :

The answer to this math question is B
aachen

Answer:

Option (B) 276.75

Step-by-step explanation:

Distance covered by Sara in 3.2 gallons of gas is 72 miles.

So, distance covered by Sara in 1 gallon of gas is [tex]\frac{72}{3.2}[/tex] miles

Now, we need to find the total distance covered by Sara in 12.3 gallons of gas, to find we need to multiply 12.3 and the distance covered in 1 gallon.

So, distance covered in 12.3 gallons of gas

[tex]=\frac{72}{3.2}\times 12.3[/tex]

[tex]=\frac{720}{32}\times \frac{123}{10}[/tex]

[tex]=\frac{72\times 123}{32}[/tex]

[tex]=276.75[/tex] gallons

Hence, option (B) is correct.

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