Question

You are running a fuel economy study. You want to find out which car can travel a greater distance on 1 gallon of gas. Blue car: 1 1/2 gallons of gas and 35 1/2 miles.
Sliver car: 4/5 gallons of gas and 27 1/5 miles.

A. What is the gas mileage, in miles per gallon, for the blue car?

B. What is the gas mileage, in miles per gallon, for the silver car?

C. Which car could travel the greater distance on 1 gallon of gas?

Answers

  1. A) For the blue car, the gas mileage = 23 \frac{2}{3} miles
    B) For the silver car, the gas mileage = 34 miles
    C) Silver car travel the greater distance in 1 gallon of gas.
    What is Fraction?
    A fraction represents the part or a whole of a number.
    Given that;
    The mileage of blue car is 35 \frac{1}{2} miles for 1 \frac{1}{2} gallons.
    The mileage of silver car is 27 \frac{1}{5} miles for 4/5 gallons.
    Now,
    The mileage of blue car in 1 gallons = 35 \frac{1}{2} ÷ 1 \frac{1}{2}
                                                           = 71/2 ÷ 3/2
                                                           = 71/2 × 2/3
                                                           = 71/3
                                                           = 23 \frac{2}{3}
    So, The mileage of blue car in 1 gallons = 23 \frac{2}{3} miles
    And, The mileage of silver car in 1 gallons = 27 \frac{1}{5} ÷ \frac{4}{5}
                                                                     = 136/5 x 5/4
                                                                     = 136/4
                                                                     = 34
    So, The mileage of silver car in 1 gallons = 34 miles
    Therefore,
    A) For the blue car, the gas mileage = 23 \frac{2}{3} miles
    B) For the silver car, the gas mileage = 34 miles
    C) Silver car travel the greater distance in 1 gallon of gas.
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  2. Answer:
    1) 28.4 miles per gallon
    2) 34 miles per gallon
    3) the silver car
    Step-by-step explanation:
    We have the following information:
    Blue car:
    Travels 35 1/2 miles on 1 1/4 gallons of gasoline
    Silver car:
    Travels 27 1/5 miles on 4/5 gallons of gasoline
    We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:
    Blue car:
    (35 1/2) / (1 1/4) = 28.4 miles per gallon
    Silver car:
    (27 1/5) / (4/5) = 34 miles per gallon

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