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?Choices:(A) 35(x+5)=175(B) 35x+5=175(C) 5(x+35)=175(D) 5x+35=175How much does Snowy Ridge charge for each hour of group snowboarding lessons?____ $
Q. 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?Choices:(A) 35(x+5)=175(B) 35x+5=175(C) 5(x+35)=175(D) 5x+35=175How much does Snowy Ridge charge for each hour of group snowboarding lessons?____ $
Understand the problem: Understand the problem.Victor paid a total of $175 for renting a snowboard and for 5 hours of group snowboarding lessons. We need to find the cost per hour for the lessons, which is represented by x.
Set up the equation: Set up the equation.The total cost is the sum of the fixed cost for renting the snowboard and the variable cost for the lessons. The fixed cost is $35, and the variable cost is 5 times the cost per hour (5x). So the equation is 35+5x=175.
Identify the correct equation: Identify the correct equation from the choices.The correct equation that represents the situation is (D) 5x+35=175.
Solve the equation for x: Solve the equation for x.Subtract 35 from both sides of the equation to isolate the term with x.5x+35−35=175−355x=140Now, divide both sides by 5 to solve for x.55x=5140x=28
Verify the solution: Verify the solution.Multiply the cost per hour by the number of hours and add the fixed cost to ensure it equals the total cost.5×28+35=140+35=175This matches the total cost Victor paid, so the solution is correct.
More problems from Solve two-step equations: word problems