Math Homework Help

Question

At one point on the trip, the miles are recorded as 15,121 when the gas tank is 75% full. Use a ratio equation to determine the miles per gallon the sedan averages. Round your answer to the nearest whole number.

 

I cannot figure this question out. Mind you this is Part C of the page. Can anyone help me?

Answer 1

15,121 when 75% full gas tank

There must be more information.

such as the gas tank capacity 🚗

let's say it is a 20 gallon tank

You also need a 2nd odometer reading with say 50% full tank, such as 15,221 miles

then 15221- 15121 = 100 miles

.75 of 20 = 15 gallons

.50 of 20 = 10 gallons

15-10 = 5 gallons

100 miles on 5 gallons = 20 miles on 1 gallon

X = 100/5 = 20 mpg

[15221-15121]/[(.75)20 -.5(20)]= ratio of miles to gallons = 20 mpg