Pregunta
You bowl at Mar Vista Bowl, where renting shoes costs
will be the same for the two bowling alleys.
will be the same for the two bowling alleys.
Ask by Salazar Ellis. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
After bowling 12 games, the total costs at Mar Vista Bowl and Pinz are the same.
Solución
To determine the number of games for which the total cost at Mar Vista Bowl and Pinz will be the same, let’s set up and solve an equation based on the provided costs.
Step 1: Define the Variables
Let
Step 2: Write the Cost Equations
-
Mar Vista Bowl:
- Shoe Rental: $2
- Cost per Game: $3.50
- Total Cost (MV):
-
Pinz:
- Shoe Rental: $5
- Cost per Game: $3.25
- Total Cost §:
Step 3: Set the Total Costs Equal to Each Other
To find the number of games where both bowling alleys cost the same:
Step 4: Solve for
-
Subtract $2 from both sides:
-
Subtract
from both sides: -
Divide both sides by 0.25:
Conclusion
The total cost at Mar Vista Bowl and Pinz will be the same after bowling 12 games.
Verification:
-
Mar Vista Bowl:
-
Pinz:
Both total to $44, confirming that at 12 games, the costs are equal.
Answer:
After bowling 12 games, the total costs at both alleys are equal.
After bowling 12 games, the total costs at both alleys are equal.
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Extra Insights
Let
At Mar Vista Bowl, the total cost can be expressed as:
At Pinz, the total cost is:
To find the number of games where the costs are equal, set the two equations equal to each other:
Now, solve for
So, if you bowl 12 games, the total cost will be the same for both bowling alleys!
The excitement of bowling is not just in the game but in its history, which tells us that bowling dates back to ancient civilizations! Evidence suggests people were bowling as far back as 5000 B.C. in ancient Egypt where little stones were rolled at pin-like objects!
You may want to keep in mind that when calculating costs in a real-world scenario, it’s crucial to consider all potential fees or discounts that may apply. Don’t forget about those tempting nachos or soda—because who wants to bowl on an empty stomach?
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