Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, $x$, for each hour of group snowboarding lessons?
$35 x+5=175$
$35(x+5)=175$
$5 x+35=175$
$5(x+35)=175$
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
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Answer (2)
Define the variable: Let x be the cost per hour of the snowboarding lessons.
Set up the equation: The total cost is the sum of the rental fee and the cost of the lessons: 5 x + 35 = 175 .
Solve for x : Subtract 35 from both sides and then divide by 5 to find x = 28 .
State the final answer: The cost per hour of the snowboarding lessons is 28 .
Explanation
Understanding the Problem Let's break down the problem. Victor rented a snowboard for $35 and took 5 hours of snowboarding lessons. His total bill was $175. We need to figure out the equation that represents this situation and then find out how much the lessons cost per hour.
Setting up the Equation Let x be the cost per hour of the snowboarding lessons. Victor took 5 hours of lessons, so the total cost of the lessons is 5 x . We also know he rented a snowboard for $35. The total cost is the sum of the rental fee and the cost of the lessons, which is $175. So, we can write the equation: 5 x + 35 = 175 .
Isolating the Variable Now, let's solve the equation 5 x + 35 = 175 for x . First, we subtract 35 from both sides of the equation to isolate the term with x :
5 x + 35 − 35 = 175 − 35
5 x = 140
Solving for x Next, we divide both sides of the equation by 5 to solve for x :
5 5 x = 5 140
x = 28
Finding the Cost per Hour So, the cost per hour of the snowboarding lessons is $28.
Examples
Imagine you're planning a snowboarding trip with friends. Knowing how to set up and solve equations like this can help you budget your trip! For example, if you know the total cost of the trip, the cost of renting equipment, and the number of hours you plan to spend on lessons, you can calculate the hourly cost of the lessons and compare it to other resorts. This helps you make informed decisions and manage your expenses effectively.
The cost per hour of the snowboarding lessons is $28. This was found by setting up the equation 5 x + 35 = 175 and solving for x .
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