Question
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5he table shows the cost of snacks at a basketball game. Mrs. Cooper buys 6 nachos for her daughter and 5 friends. Use mental math and the Distributive Property to determin. how much change she will receive from \( \$ 30 \).

Ask by Johnson Nichols. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

To find the change Mrs. Cooper will receive from \( \$ 30 \), first determine the cost of each nacho. Multiply the cost per nacho by 6 to get the total cost of the nachos. Then, subtract the total cost from \( \$ 30 \) to find the change. For example, if each nacho costs \( \$ 5 \), the total cost is \( 6 \times 5 = \$ 30 \), so the change would be \( \$ 30 - \$ 30 = \$ 0 \).

Solution

To determine how much change Mrs. Cooper will receive from \( \$ 30 \) after buying snacks, we first need to know the cost of the nachos. However, since the cost of nachos is not provided in your message, I will assume a hypothetical cost for the purpose of this calculation. Let's say each nacho costs \( x \) dollars. 1. **Calculate the total cost of nachos:** - Mrs. Cooper buys 6 nachos. - The total cost can be calculated using the formula: \[ \text{Total Cost} = \text{Number of Nachos} \times \text{Cost per Nacho} = 6 \times x \] 2. **Determine the change from \( \$ 30 \):** - The change can be calculated using the formula: \[ \text{Change} = \text{Amount Given} - \text{Total Cost} = 30 - (6 \times x) \] 3. **Using the Distributive Property:** - We can express the total cost as: \[ 6 \times x = 6x \] - Therefore, the change can be rewritten as: \[ \text{Change} = 30 - 6x \] Now, if you provide the cost of each nacho, I can calculate the exact change Mrs. Cooper will receive. Please let me know the cost of the nachos!

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The Deep Dive

If Mrs. Cooper buys 6 nachos, and let's say each nacho costs \( x \) dollars, the total cost for the nachos would be \( 6x \). To simplify using the Distributive Property, we can express the total as \( 6(x) \). If the total equals \( \$30 \), then the change she will receive is \( 30 - 6x \). Now, if nachos cost \( \$3 \) each, then \( 6 \times 3 = \$18 \). So she will receive \( 30 - 18 = \$12 \) in change. It's like a mini math game figuring out how much money she’ll have left for more snacks! 🎉 And remember, always double-check your calculations to make sure you’ve got the right change—no one likes a math mix-up when it’s time to splurge on more goodies at the game! 🏀

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