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Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for 3535$\$, then took 55 hours of group snowboarding lessons. Victor paid 175175$\$ in all.\newlineWhich equation can you use to find how much Snowy Ridge charges, xx, for each hour of group snowboarding lessons?\newlineChoices:\newline(A) 35x+5=17535x + 5 = 175\newline(B) 35(x+5)=17535(x + 5) = 175\newline(C) 5x+35=1755x + 35 = 175\newline(D) 5(x+35)=1755(x + 35) = 175\newlineHow much does Snowy Ridge charge for each hour of group snowboarding lessons?\newline____ $\$

Full solution

Q. Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for 3535$\$, then took 55 hours of group snowboarding lessons. Victor paid 175175$\$ in all.\newlineWhich equation can you use to find how much Snowy Ridge charges, xx, for each hour of group snowboarding lessons?\newlineChoices:\newline(A) 35x+5=17535x + 5 = 175\newline(B) 35(x+5)=17535(x + 5) = 175\newline(C) 5x+35=1755x + 35 = 175\newline(D) 5(x+35)=1755(x + 35) = 175\newlineHow much does Snowy Ridge charge for each hour of group snowboarding lessons?\newline____ $\$
  1. Identify Total Cost Breakdown: Identify the total cost and the breakdown of costs. Victor paid $175\$175 in total, which includes $35\$35 for the snowboard rental and the rest for the lessons.
  2. Set Up Equation for Cost per Hour: Set up the equation to find the cost per hour for the lessons. Let xx be the cost per hour for the lessons. Victor took 55 hours of lessons, so the cost for the lessons is 5x5x. Adding the rental cost, the equation is 5x+35=1755x + 35 = 175.
  3. Choose Correct Equation: Choose the correct equation from the given choices. The equation 5x+35=1755x + 35 = 175 matches our setup, so the correct choice is (C).
  4. Solve Equation for x: Solve the equation 5x+35=1755x + 35 = 175 to find xx. Subtract 3535 from both sides to get 5x=1405x = 140.
  5. Isolate and Calculate x: Divide both sides by 55 to isolate x. x=1405x = \frac{140}{5}.
  6. Isolate and Calculate x: Divide both sides by 55 to isolate x. x=1405x = \frac{140}{5}. Calculate x. x=28x = 28. So, Snowy Ridge charges ($28)(\$28) per hour for group snowboarding lessons.