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Select the equation that matches the situation below. "Bill and his four friends are going on a trip to Disney World. They decide to split the total cost of the trip evenly. If each person paid \( \$ 300 \), how much was the total cost of the trip?" \( \begin{array}{l}\frac{\pi}{5}=300 \\ \frac{\pi}{4}=300 \\ 5 x=300 \\ 4 x=300\end{array} \)

Ask by Warren Evans. in the United States
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The correct equation is \( \frac{x}{5} = 300 \).

Solution

Let \[ x=\text{total cost of the trip.} \] Since Bill and his four friends make 5 people sharing the cost equally, each person’s share is \[ \frac{x}{5}. \] We are told that each person paid \(\$300\), so we set up the equation \[ \frac{x}{5}=300. \] Multiplying both sides by 5 gives \[ x=1500. \] Thus, the relationship between the total cost and each person’s payment is best modeled by \[ \frac{x}{5}=300. \] None of the provided options exactly match this equation.

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The Deep Dive

To find the total cost of the trip, you can multiply the amount each person paid by the total number of people. Since Bill and his four friends make five people in total, the equation you want is \( 5x = \text{Total Cost} \), where \( x \) represents the amount each person paid. In this case, if \( x = 300 \), then the total cost would be \( 5 \times 300 = 1500 \). It's always good to double-check your setup! A common mistake is forgetting to account for everyone involved in an evenly split cost. Always ensure you include all participants in your calculation—here, that means adding together Bill and his four friends to make five contributors. Having fun while budgeting? Now that's a Disney-worthy adventure!

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