Question

You are running a fuel economy study. One of the cars you find is blue. can travel 35 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallons of gasoline.
1) What is the unit rate for miles per gallon for the blue car?

2) What is the unit rate for miles per gallon for the red car?

3) Which car could travel the greater distance on 1 gallon of gasoline?

Answer 1

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

We have the following information:

• Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

• Red 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

• Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline

Answer 2

Blue car :
(35 1/2) / (1 1/4) =
(71/2) / (5/4) =
71/2 * 4/5 =
142/5 =
28.4 miles per gallon <=== unit rate for blue

red car : 
(27 1/5) / (4/5) =
(136/5) / (4/5) =
136/5 * 5/4 =
136/4 =
34 miles per gallon <=== unit rate for red

so the red car can travel a greater distance on 1 gallon