Monic and Matt are moving cross-country using a rented truck. Monica will drive the truck, and Matt will drive their car. After travelling 285 miles, they stop for gas, which costs $3.49 per gallon. Both vehicles start with a full tank of gas. Monica putss 22.8 gallons of gas in the truck. Matt puts 9.5 gallons of gas in the car. About how much will they spend, altogether, to travel 1,800 miles?
(22.8+9.5)(1800/285)(3.49) = $711.96
To find out how much Monica and Matt will spend altogether to travel 1,800 miles, we need to calculate the total number of gallons of gas they will use and then multiply it by the cost per gallon.
First, let's calculate the number of gallons used by Monica in the truck. She put 22.8 gallons of gas in the truck after driving 285 miles. To find out her average miles per gallon (MPG), we divide the distance traveled by the number of gallons used: 285 miles / 22.8 gallons = 12.5 miles per gallon (MPG).
Now, we can calculate the total number of gallons needed to travel 1,800 miles. Since Monica's truck averages 12.5 MPG, we divide the total distance by the MPG: 1,800 miles / 12.5 MPG = 144 gallons.
Similarly, we can calculate the number of gallons used by Matt in the car. He put 9.5 gallons of gas in the car, which is the same amount of gas he will use to travel 285 miles.
Next, we need to calculate the total number of gallons used by both vehicles. Since Monica will drive the truck and Matt will drive the car, we add the number of gallons used by each: 144 gallons (truck) + 9.5 gallons (car) = 153.5 gallons.
Finally, to find out how much they will spend altogether, we multiply the total number of gallons by the cost per gallon of gas: 153.5 gallons * $3.49/gallon = $535.51.
Therefore, Monica and Matt will spend approximately $535.51 altogether to travel 1,800 miles.