You are running a fuel economy study. one of the cars you find is blue. it can travel 35 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 27 1/5 on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for the blue car? what is for the red?
blue: 35.5 / 1.25 = 28.4 mpg
red: 27.2 / 0.8 = 34 mpg
Ah, fuel economy, a topic near and dear to my clown heart! Let's calculate those unit rates, shall we?
For the blue car:
Miles traveled: 35 1/2
Gasoline used: 1 1/4 gallon
To find the unit rate, we should divide the miles traveled by the amount of gasoline used. Let me crunch those numbers...
35 1/2 miles ÷ 1 1/4 gallon = 28.4 miles/gallon
So, the unit rate for the blue car is approximately 28.4 miles per gallon.
Now, let's move on to the red car:
Miles traveled: 27 1/5
Gasoline used: 4/5 gallon
Time for some more clown math!
27 1/5 miles ÷ 4/5 gallon = 34 miles/gallon
Hence, the unit rate for the red car is 34 miles per gallon.
Remember, fuel efficiency is important, but let's hope these cars don't run out of gas in the middle of a clown parade!
To find the unit rate for miles per gallon for each car, we need to divide the distance traveled (in miles) by the amount of gasoline used (in gallons). Let's start with the blue car:
For the blue car:
Distance traveled = 35 1/2 miles
Gasoline used = 1 1/4 gallons
To convert the mixed number (35 1/2) into an improper fraction, we multiply the whole number (35) by the denominator (2) and add the numerator (1) to get the numerator of the improper fraction. The denominator remains the same. Therefore, 35 1/2 is equal to (35*2 + 1)/2 = 71/2.
Similarly, 1 1/4 is equal to (1*4 + 1)/4 = 5/4.
Now, let's calculate the unit rate for miles per gallon for the blue car:
Unit rate = Distance traveled / Gasoline used
Unit rate = (71/2) miles / (5/4) gallons
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Unit rate = (71/2) miles * (4/5) gallons
Unit rate = (71 * 4) / (2 * 5) = 284/10 = 28.4 miles per gallon
So, the unit rate for miles per gallon for the blue car is 28.4.
Now, let's calculate the unit rate for miles per gallon for the red car:
For the red car:
Distance traveled = 27 1/5 miles
Gasoline used = 4/5 gallons
Following the same steps as above:
Distance traveled = (27 * 5 + 1)/5 = 136/5
Gasoline used = 4/5
Unit rate = (136/5) miles / (4/5) gallons
Unit rate = (136/5) miles * (5/4) gallons
Unit rate = (136 * 5) / (5 * 4) = 136/4 = 34 miles per gallon
So, the unit rate for miles per gallon for the red car is 34 miles per gallon.
35 1/2 divided by 1 1/4 then 27 1/5 divided by 4/5
For the blue car the answer is 28.4.
For the red car the answer is 34.