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)5(x + 35) = 175 (B)5x + 35 = 175 (C)35(x + 5) = 175 (D)35x + 5 = 175 How much does Snowy Ridge charge for each hour of group snowboarding lessons? ____ $

Question

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)5(x + 35) = 175 (B)5x + 35 = 175 (C)35(x + 5) = 175 (D)35x + 5 = 175  How much does Snowy Ridge charge for each hour of group snowboarding lessons?   ____ $

Bytelearn · Accepted Answer

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 we will call x. The cost of renting the snowboard is a one-time fee of $35.Set up the equation: Set up the equation. The total cost is the sum of the one-time snowboard rental fee and the cost of the lessons. The cost of the lessons is the number of hours times the cost per hour (5 * x). So the equation should represent the total cost as the sum of the rental fee and the cost of the lessons.Choose the correct equation: Choose the correct equation from the choices. The correct equation should have the rental fee added to the product of the number of hours and the cost per hour. This matches choice (B) 5x + 35 = 175, where 5x represents the total cost of the lessons and 35 represents the cost of the snowboard rental.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 - 35 5x = 140 Now, divide both sides by 5 to solve for x. 5x / 5 = 140 / 5 x = 28Verify the solution: Verify the solution. Multiply the cost per hour by the number of hours and add the rental fee to ensure it equals the total cost. 5 * 28 + 35 = 140 + 35 = 175 This matches the total cost Victor paid, so the solution is correct.

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