Pregunta
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  1. At the Holiday Valley Ski Resort, skis cost to rent and snowboards cost . If 28 people
    rented on a certain day and the resort brought in , how many skis and snowboards were
    rented?

Ask by Daniel Patel. in the United States
Jan 23,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

18 skis and 10 snowboards were rented.

Solución

To determine how many skis and snowboards were rented at Holiday Valley Ski Resort, let’s set up a system of equations based on the information provided.
Let:
  • = number of skis rented
  • = number of snowboards rented
We have two pieces of information:
  1. The total number of rentals is 28:
  2. The total revenue from rentals is $478:
Step 1: Solve the first equation for one variable.
Let’s solve for :
Step 2: Substitute into the second equation.
Step 3: Solve for .
Step 4: Find using the value of .
Conclusion:
  • Skis rented: 18
  • Snowboards rented: 10
Answer:
18 skis and 10 snowboards were rented.

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Beyond the Answer

To solve this, let’s define two variables: let be the number of skis rented and be the number of snowboards rented. We can set up the following system of equations based on the information given:
  1. (total number of rentals)
  2. (total revenue)
Now, using the first equation, express in terms of :
Substitute this into the second equation:
Now, simplify and solve for :
Combine like terms:
Subtract 532 from both sides:
Now, divide by -3:
Now, substitute back into the first equation to find :
Thus, 18 skis and 10 snowboards were rented.
To summarize, the solution is:
18 skis and 10 snowboards were rented.

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