# Math

posted by .

According to a rating agency, a car's MPG (miles per gallon) ratings are: 25 MPG for city and 30 MPG for highway driving. A driver spent \$20.00 (the gasoline costs \$1.25/gallon) on a combined city and highway trip of 450 miles. How many miles "C" in city and "H" on highway was the car driven ?

I need to put this into 2 equations. How does the \$20.00 fit into the equation?

• Math -

<<How does the \$20.00 fit into the equation? >>

Let C = city miles and H = highway miles
City gas cost + Highway gas cost = \$20

(C/25)*1.25 + (H/30)*1.25 + 20

0.05 C + 0.04167 H = 20
Combine that with
C + H = 450
to get the answer.

C + 0.8333 H = 400
.16667 H = 50
H = 300 miles
C = 150 miles

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Math

According to a rating agency, a car's MPG (miles per gallon) ratings are: 25 MPG for city and 30 MPG for highway driving. A driver spent \$20.00 (the gasoline costs \$1.25/gallon) on a combined city and highway trip of 450 miles. How …
2. ### Math

According to a rating agency, a car's MPG (miles per gallon) ratings are: 25 MPG for city and 30 MPG for highway driving. A driver spent \$20.00 (the gasoline costs \$1.25/gallon) on a combined city and highway trip of 450 miles. How …
3. ### Conclusions

You expect to get forty miles to the gallon in that?
4. ### Math

The Honda Civic Hybrid vehicle, powered by gasoline-electric technology, gets 49 miles per gallon in city driving and 51 miles per gallon in highway driving. The car is driven 447 miles on 9 gallon of gasoline. How many miles were …
5. ### MPG

a passenger car will go 525 miles on 17.5 gallons of gasoline in city of driving. what is the rate miles per gallon?
6. ### statistics

Miles per gallon. In its Fuel Economy Guide for 2008 model vehicles, the Environmental Protection Agency gives data on 1152 vehicles. There are a number of outliers, mainly vehicles with very poor gas mileage. If we ignore the outliers, …
7. ### Statistics

The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the …
8. ### statistics

The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the …
9. ### Math

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government …
10. ### Math

he federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government …

More Similar Questions