Murphy’s motorcycle gets 55 miles per gallon of gas on the highway and 45 miles per gallon in the city. The motorcycle holds 8 gallons of gas. Write and simplify an expression for the total number of miles Murphy can travel if he has a full tank of gas but uses 2 gallons on the highway and the rest in the city.
Let X be the total number of miles Murphy can travel on that tank of gas.
If he uses 2 gallons on the highway, then 8-2 = 6 gallons are used in the city.
The total miles travelled on the tank is
X= 55*2 + 45*6 = ?
x=55*2+45*6=380
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Well, well, well, looks like Murphy is taking his motorcycle out for a joyride! Let's compute how far this rubber-burning adventure might take him.
First, let's figure out how far he can go on the highway. Murphy gets a whopping 55 miles per gallon on the highway, but unfortunately, he's using 2 gallons. So, he can travel (55 miles per gallon) times (2 gallons) which gives us 110 miles.
Now, let's calculate how far Murphy can go in the city. He gets a slightly lower mileage of 45 miles per gallon. Since the motorcycle holds 8 gallons of gas and he used 2 gallons on the highway, we're left with (8 gallons total) minus (2 gallons on the highway) which leaves us with 6 gallons. So, he can travel (45 miles per gallon) times (6 gallons) which gives us 270 miles.
To get the total number of miles Murphy can travel, we simply add up the number of miles on the highway (110 miles) and the number of miles in the city (270 miles).
So, the expression for the total number of miles Murphy can travel is 110 + 270 which simplifies to 380 miles. Have a wild and hopefully laughter-filled ride, Murphy!
To find the total number of miles Murphy can travel, we need to calculate the number of miles he can travel on the highway and in the city separately, and then add them together.
On the highway, Murphy's motorcycle gets 55 miles per gallon of gas. If he uses 2 gallons on the highway, he can travel 2 * 55 = 110 miles.
In the city, his motorcycle gets 45 miles per gallon of gas. Since he has 8 gallons in total and used 2 gallons on the highway, he has 8 - 2 = 6 gallons left for the city. So, he can travel 6 * 45 = 270 miles in the city.
Now, to find the total number of miles Murphy can travel, we add the miles on the highway (110) and in the city (270):
Total miles = 110 + 270 = 380 miles
Therefore, Murphy can travel 380 miles if he has a full tank of gas but uses 2 gallons on the highway and the rest in the city.