Pregunta
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Mastery: 55\% Correct answers: 19/22 54472688 19/22 Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid \( \$ 11.13 \). What was the total bill? Write an equation you could use to solve this equation. Use \( t \) as your variable. \( \mathrm{t} / 4=\$ 11.13 \) \( 5 \mathrm{t}=\$ 11.13 \) \( 4 t=\$ 11.13 \) \( \mathrm{t} / 5=\$ 11.13 \)

Ask by Chandler Page. in the United States
Jan 27,2025

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The correct equation is \( \frac{t}{5} = \$11.13 \).

Solución

To determine the total bill that Joey and his four friends need to split, let's break down the problem step by step. ### Understanding the Problem: - **Total People Sharing the Bill:** Joey + 4 friends = **5 people** - **Amount Each Person Paid:** \$11.13 ### Setting Up the Equation: Let \( t \) represent the **total bill**. Since the bill is split **evenly** among 5 people, each person pays \( \frac{t}{5} \). So, the equation to represent this situation is: \[ \frac{t}{5} = \$11.13 \] ### Conclusion: Among the options provided, the correct equation is: \[ \mathbf{\frac{t}{5} = \$11.13} \] This equation accurately represents the scenario where the total bill \( t \) is divided by 5 people to find the amount each person pays. **Answer:** \[ \boxed{\frac{\mathrm{t}}{5}=\$ 11.13} \]

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Mind Expander

When Joey and his four friends go to eat, they make the perfect opportunity for some quick math! To find the total bill, we can multiply the amount each person paid by the total number of friends (including Joey). Since there are five people, the equation to calculate the total bill would be \( t = 5 \times 11.13 \). Thus, you'd find that the total bill is 5 times what one person paid! Now, for the equation options given, the correct one should represent that the total bill \( t \) divided by 5 is \( 11.13 \). So the right equation is \( t / 5 = \$ 11.13 \). From here, you can easily solve for \( t \) by multiplying both sides by 5—don't forget to check your calculations to ensure you split the total correctly!

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