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The soccer team collected $800 at a car wash fundraiser. They charged $5 for small vehicles and $10 for larger vehicles. If x represents the number of small cars and y represents the number of large cars, the amount collected cal be modeled by the equation: Response areax+Response areay=Response area.If the soccer team washed 50 large vehicles, that means they had to wash Response area small vehicles to meet their $800 total. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.Skip to navigation

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To solve the problem, we can start by modeling the situation with the information provided.

  1. Set up the equation: From the information given, we know that the total amount collected is $800. The small vehicles are priced at $5 each and the large vehicles are priced at $10 each. The equation representing the total amount collected can be expressed as:

    \[ 5x + 10y = 800 \]

    Here, \(x\) represents the number of small vehicles and \(y\) represents the number of large vehicles.

  2. Determine the number of large vehicles: It is given that the soccer team washed 50 large vehicles, so we have:

    \[ y = 50 \]

  3. Substitute the value of y into the equation: Now we can substitute 50 for \(y\) in the equation:

    \[ 5x + 10(50) = 800 \]

  4. Calculate the amount collected from large vehicles:

    \[ 5x + 500 = 800 \]

  5. Solve for x: Now, we can isolate \(x\):

    \[ 5x = 800 - 500 \] \[ 5x = 300 \] \[ x = \frac{300}{5} \] \[ x = 60 \]

Therefore, the soccer team had to wash 60 small vehicles to meet their $800 total.

In summary, you have:

  • Number of small vehicles \(x = 60\)
  • Number of large vehicles \(y = 50\)

So, the completed responses are:

  • \(x + 5y = 800\)
  • Number of small vehicles = 60.