Answer:
- 175 = 25 +4t
- cost of a ticket: $37.50
Explanation:
Given a total expense of $175 for 4 tickets and an included parking fee of $25, you want an equation for the cost of a ticket, and the solution to that equation.
Equation
The total cost is the sum of the items that contribute to that total. Here, the 175 total cost is the sum of 25 and the price of 4 tickets. If we let 't' represent the price of a ticket, we can describe this relation by ...
175 = 25 + 4t . . . . . . equation for the cost of a ticket
Solution
This is a 2-step linear equation. The two steps to the solution are ...
Step 1: isolate the variable term by subtracting the constant
175 -25 = 25 -25 +4t
150 = 4t
Step 2: find the value of the variable by dividing by its coefficient
150/4 = 4t/4
37.50 = t
This tells us the cost of a ticket is $37.50.
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Additional comment
"Write an equation that can be used ..." covers a lot of territory. It is simplest to interpret it to mean "describe the given relationships using one or more equations." You are expected to know how costs are added based on your life experience: the total you pay is the sum of the costs of the individual items.
We could write the equation as ...
t + t + t + t + 25 = 175
Some cashiers will add every item separately like this. Others will enter the price once and tell how many times that price is part of the total:
4t +25 = 175
Multiplication was invented for the purpose of simplifying repeated addition.