A baker made 366 muffins in the morning. He made another 110 muffins in the afternoon. He sold 154 muffins and packed the rest equally in boxes of 7 muffins each. How many boxes of... A baker made 366 muffins in the morning. He made another 110 muffins in the afternoon. He sold 154 muffins and packed the rest equally in boxes of 7 muffins each. How many boxes of muffins did he have?
Understand the Problem
The question is asking how many boxes of muffins the baker had after making and selling a certain number of muffins. To solve it, we need to first calculate the total muffins made and then the remaining muffins after selling some, before dividing that number by the number of muffins in each box.
Answer
The baker had $30$ boxes of muffins.
Answer for screen readers
The baker had $30$ boxes of muffins.
Steps to Solve
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Calculate Total Muffins Made First, we find the total number of muffins made by adding the muffins made in the morning and in the afternoon: $$ \text{Total Muffins} = 366 + 110 $$
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Calculate Muffins Sold Next, we determine how many muffins were sold, which is given as 154: $$ \text{Muffins Sold} = 154 $$
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Calculate Remaining Muffins Now, we subtract the number of muffins sold from the total muffins made to find out how many muffins remain: $$ \text{Remaining Muffins} = \text{Total Muffins} - \text{Muffins Sold} $$
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Determine Number of Boxes Finally, we divide the number of remaining muffins by the number of muffins per box, which is 7: $$ \text{Number of Boxes} = \frac{\text{Remaining Muffins}}{7} $$
The baker had $30$ boxes of muffins.
More Information
The baker made a total of $476$ muffins, sold $154$, leaving him with $322$ muffins. Dividing $322$ muffins by $7$ muffins per box gives us $30$ full boxes, with $2$ muffins left over.
Tips
- One common mistake is forgetting to subtract the muffins sold from the total muffins made. To avoid this, always double-check your calculations after each step.
- Another mistake is not accurately performing the division or rounding down instead of calculating full boxes.
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