Question

You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 on 1 1/4 of gasoline. Another car is red. It can travel 22 2/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on of​ gasoline? Question content area bottom Part 1 The unit rate for the blue car is enter your response here ​mile(s) per gallon.

Answer 1

Answer: The answer is 28 miles per gallon

Explanation:

To find the unit rate for miles per gallon for each car, you need to divide the miles traveled by the gallons of gasoline used.

For the blue car, you have:

38 1/2 ÷ 1 1/4

To divide fractions, you need to multiply by the reciprocal of the second fraction. So you have:

(38 1/2) × (4/5)

You can simplify this by multiplying the numerators and denominators separately. You have:

(77/2) × (4/5)

= (77 × 4) / (2 × 5)

= 308 / 10

= 30.8

So the unit rate for the blue car is 30.8 miles per gallon.

For the red car, you have:

22 2/5 ÷ 4/5

Again, you need to multiply by the reciprocal of the second fraction. So you have:

(22 2/5) × (5/4)

You can simplify this by multiplying the numerators and denominators separately. You have:

(112/5) × (5/4)

= (112 × 5) / (5 × 4)

= 560 / 20

= 28

So the unit rate for the red car is 28 miles per gallon.

To compare which car could travel the greater distance on one gallon of gasoline, you just need to compare the unit rates. The higher the unit rate, the more miles per gallon.

Since 30.8 > 28, the blue car could travel the greater distance on one gallon of gasoline.