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.

Question

Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?
Responses
5+35=175
35x+5=175
35(x+5)=175
5(x+35)=175

Answer 1

To find how much Snowy Ridge charges, \( x \), for each hour of group snowboarding lessons, we need to set up an equation that reflects Victor's total expenses.

1. He rented a snowboard for $35.
2. He took 5 hours of group lessons at a cost of \( x \) dollars per hour.

The total cost for the snowboard and the lessons can be expressed as:

\[ 35 + 5x = 175 \]

This is our equation, where \( 5x \) represents the cost of the 5 hours of lessons.

None of the response options directly corresponds to the correct equation \( 35 + 5x = 175 \), but looking closely at the responses provided, the equation can be deduced:

• The correct representation should be expressed as \( 35 + 5x = 175 \).

However, among the given responses, the closest representation we can equate to this format (assuming \( 5x \) is a suitable equivalent) would actually need transformations.

If we simplify the options provided, none directly fit. Therefore we can assess:

• The response \( 35(x+5) = 175 \) is misleading as it's trying to represent multiplication incorrectly.

Hence, recognizing the absence of a clear and correct response in your list indicates that perhaps reconsidering only leaves an option as:

None of the provided options is a correct formulation to solve for \( x \). But when we analyze correctly then \( 35 + 5x = 175 \) includes the essence of both snowboarding rental and lesson costs.

Answer 2

How much does Snowy Ridge charge for each hour of group snowboarding lessons?

Answer 3

To find out how much Snowy Ridge charges for each hour of group snowboarding lessons, we can use the equation we derived earlier:

\[ 35 + 5x = 175 \]

where:

• \( 35 \) is the cost of renting the snowboard,
• \( 5x \) is the cost of 5 hours of lessons at \( x \) dollars per hour,
• \( 175 \) is the total amount Victor paid.

Now, let's solve for \( x \):

1. Subtract 35 from both sides of the equation: \[ 5x = 175 - 35 \] \[ 5x = 140 \]

2. Divide both sides by 5: \[ x = \frac{140}{5} \] \[ x = 28 \]

Therefore, Snowy Ridge charges $28 for each hour of group snowboarding lessons.