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Math  /  Numbers & Operations

QuestionSara drives 96 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 12.5 gallons of gas? 2.4 240 375 37.5

Studdy Solution

STEP 1

1. Sara's car consumes gas at a constant rate.
2. The mileage per gallon can be calculated by dividing the total miles driven by the gallons of gas used.
3. This mileage per gallon can then be used to estimate the distance she can drive with a different amount of gas.

STEP 2

1. Calculate the miles per gallon (mpg) based on the given data.
2. Use the calculated mpg to find out how many miles Sara can drive on 12.5 gallons of gas.

STEP 3

Calculate the miles per gallon (mpg) using the given data.
mpg=96 miles3.2 gallons \text{mpg} = \frac{96 \, \text{miles}}{3.2 \, \text{gallons}}

STEP 4

Perform the division to find the mpg.
mpg=963.2=30 miles per gallon \text{mpg} = \frac{96}{3.2} = 30 \, \text{miles per gallon}

STEP 5

Use the calculated mpg to determine how many miles Sara can drive on 12.5 gallons of gas.
Distance=mpg×12.5 \text{Distance} = \text{mpg} \times 12.5

STEP 6

Perform the multiplication to find the distance.
Distance=30 mpg×12.5 gallons=375 miles \text{Distance} = 30 \, \text{mpg} \times 12.5 \, \text{gallons} = 375 \, \text{miles}
Solution: Sara can drive 375 miles on 12.5 gallons of gas.

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