To determine the cost of each hat without using an equation, Brianna can follow these steps logically:
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Calculate the total cost of the shirts: Since each shirt costs $12.50 and she is buying 3 shirts, we multiply: \[ 3 \times 12.50 = 37.50. \]
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Determine the total cost of the hats: The total amount spent on the uniforms is $62.25. To find out how much was spent on the hats, we subtract the total cost of the shirts from the total cost: \[ 62.25 - 37.50 = 24.75. \]
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Calculate the cost of each hat: Since there are 3 hats, divide the total cost of the hats by 3: \[ \frac{24.75}{3} = 8.25. \]
Let's analyze the response options given:
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Divide $12.50 by 3. Then, subtract the quotient from $62.25. Finally, divide the sum by 3. (Incorrect)
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Multiply 3 by $12.50. Then, subtract the product from $62.25. Finally, divide the difference by 3. (Correct)
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Divide $12.50 by 3. Then, subtract the quotient from $62.25. Finally, multiply the sum by 3. (Incorrect)
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Multiply 3 by $12.50. Then, add the product to $62.25. Finally, divide the sum by 3. (Incorrect)
Therefore, the correct process Brianna could have used is the second option: Multiply 3 by $12.50. Then, subtract the product from $62.25. Finally, divide the difference by 3.