Question
A taxi company charges $2 for booking and charges $0.2 separately for every mile. The total amount Wade paid to the taxi company is $12. The distance he travelled in the cab is
- 20 miles
- 25 miles
- 50 miles
- 75 miles
Hint:
An equation has a constant, variable and an equal to sign. It has two sides LHS and RHS. A linear equation in one variable is equation with only one variable and in which the highest degree is 1. Here, we have to find the value of unknown value, by operating both sides with the same number so that the equation will be balanced.
The correct answer is: 50 miles
In the question it is given that, booking charge is $2 and the charge per mile is $0.2.
Total amount paid by Wade= $12.
We have to find the distance travelled by Wade.
Step 1: Convert the word problem into numerical equation.
Let the distance travelled by Wade be x.
So, the equation will be:
Total amount paid by Wade= Booking charge+ Charge per mile 
Distance travelled by Wade
12= 2+0.2x
Bring all the terms containing variables in one side by operating same numbers on both sides to balance the equation.
Step 2: Subtract 2 on both sides.
12-2= 2+0.2x-2
12-2= 0.2x
10= 0.2x
Step 3: Divide both the sides by 0.2.
So, the distance travelled by Wade is 50 miles.
Therefore, the correct option is c, i.e., 50 miles.
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
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