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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) 5x+35=1755x + 35 = 175\newline(B) 35(x+5)=17535(x + 5) = 175\newline(C) 35x+5=17535x + 5 = 175\newline(D) 5(x+35)=1755(x + 35) = 175\newlineHow much does Snowy Ridge charge for each hour of group snowboarding lessons?\newline____ $\$

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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) 5x+35=1755x + 35 = 175\newline(B) 35(x+5)=17535(x + 5) = 175\newline(C) 35x+5=17535x + 5 = 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. Understand the problem: Understand the problem.\newlineVictor rented a snowboard for a flat fee of $35\$35 and took 55 hours of lessons, paying a total of $175\$175. We need to find the cost per hour for the lessons, represented by xx.
  2. Set up the equation: Set up the equation.\newlineThe total cost is the sum of the flat fee and the cost of the lessons. The cost of the lessons is the number of hours times the cost per hour. So the equation is:\newlineCost of snowboard rental + (Cost per hour of lessons ×\times Number of hours) = Total cost\newline35+(x×5)=17535 + (x \times 5) = 175
  3. Identify the correct equation: Identify the correct equation from the choices.\newlineLooking at the choices given, we need to find the one that matches the equation we set up in Step 22.\newline(A) 5x+35=1755x + 35 = 175 is the correct equation because it represents the cost of the snowboard rental plus the cost of 55 hours of lessons.
  4. Solve the equation for x: Solve the equation for x.\newline5x+35=1755x + 35 = 175\newlineSubtract 3535 from both sides to isolate the term with x.\newline5x=175355x = 175 - 35\newline5x=1405x = 140\newlineNow, divide both sides by 55 to solve for x.\newlinex=1405x = \frac{140}{5}\newlinex=28x = 28
  5. Verify the solution: Verify the solution.\newlinePlug the value of xx back into the equation to ensure it satisfies the total cost.\newline5(28)+35=1755(28) + 35 = 175\newline140+35=175140 + 35 = 175\newline175=175175 = 175\newlineThe solution is correct.