Nelson baked 88 muffins. In each pan, he baked 8 muffins. Students were asked to write an equation that tells how to find \( p \), the number of pans of muffins he baked One student answered that it was \( 88-8=p \). What error did this student make and what would you suggest? The student to provide related calculations and additional reasoning to support your answer.
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The student's equation \( 88-8=p \) reflects a misunderstanding of how to set up a division problem. To find the number of pans \( p \), you should actually divide the total number of muffins by the number of muffins per pan. The correct equation is \( 88 \div 8 = p \). To help illustrate this, if Nelson baked 88 muffins and each pan holds 8 muffins, you can calculate the number of pans by performing the division: 88 divided by 8 equals 11. Thus, \( p = 11 \) pans. To avoid similar mistakes in the future, always consider what operation corresponds to the relationship between the numbers you're working with!