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Pre: \( 1 / 5 \) Penalty: none Question A bakery sold 27 mocha cupcakes in a day, which was \( 9 \% \) of the tótal number of cupcakes sold that day. How many total cupcakes did the bakery sell that day? Answer Attemptiout of 2

Ask by Bowers Bryant. in the United States
Mar 14,2025

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Answer

The bakery sold 300 cupcakes in total that day.

Solution

Let \( T \) be the total number of cupcakes sold. We are given that \( 9\% \) of the total is 27, so we can write the equation: \[ 0.09 \times T = 27 \] Now, solve for \( T \) by dividing both sides of the equation by \( 0.09 \): \[ T = \frac{27}{0.09} \] Performing the division: \[ T = 300 \] Thus, the bakery sold \( 300 \) cupcakes in total that day.

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To find the total number of cupcakes sold that day, we can set up the equation using the information given. If 27 mocha cupcakes represent \( 9\% \), we can express it as: \[ 0.09 \times \text{Total cupcakes} = 27 \] To find the total cupcakes, we can rearrange the equation as follows: \[ \text{Total cupcakes} = \frac{27}{0.09} \] Calculating this gives: \[ \text{Total cupcakes} = 300 \] So, the bakery sold a total of 300 cupcakes that day! Additionally, it's cool to think about how bakeries often calculate their inventory based on sales percentages! This method helps them understand which products are popular and how much to bake each day. Identifying best-sellers like mocha cupcakes can lead to winning strategies for bigger sales! Also, when dealing with percentages, it’s easy to make a mistake by simply dividing instead of considering the full context of the problem. Always double-check that you've set up your equations correctly before jumping to conclusions!

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