I want to visit a friend that lives 200 miles away. Gas is $4 a gallon. My car gets 50 miles every 2 gallons of gas. How can I solve this using an literal equation?
I would say my car gets 50 miles every 8 dollars how much money do i spend to get 200 miles
I have to write and solve as literal equation.
To solve this problem using a literal equation, we can use the formula:
distance = (miles per gallon) x (gallons of gas)
Let's break down the given information first:
Distance to your friend's house: 200 miles
Gas price: $4 per gallon
Car's fuel efficiency: 50 miles per 2 gallons
Now, let's assign variables to the unknowns in the problem:
Let's use:
d for distance,
$4 for gas price,
50 for miles per 2 gallons, and
g for gallons of gas.
Using the formula, our literal equation becomes:
d = (50/2)g
Now that we have the literal equation set up, we can substitute the given distance into the equation:
200 = (50/2)g
To solve for g, we can simplify the equation:
200 = 25g
Next, isolate the variable g by dividing both sides of the equation by 25:
200/25 = g
Simplifying further:
8 = g
So, you would need approximately 8 gallons of gas to travel 200 miles to visit your friend.