Question

nadia made 56 muffins. she wants to fill each treat bag with 8 muffins. nadia bought 7 bags. use the equation $56 \div b = 8$ to explain whether nadia bought enough bags.

Explanation:

Step1: Understand the equation

We have the equation \(56\div b = 8\), where \(b\) is the number of bags. We can solve for \(b\) by rearranging the equation. Multiply both sides by \(b\): \(56=8\times b\), then divide both sides by 8: \(b = \frac{56}{8}\).

Step2: Calculate the value of \(b\)

Calculate \(\frac{56}{8}\), which equals 7. Nadia bought 7 bags, and we found that \(b = 7\) satisfies the equation \(56\div b=8\) (since \(56\div7 = 8\)). So the number of bags she needs (from the equation) is equal to the number of bags she bought.

Answer:

Yes, Nadia bought enough bags. The equation \(56\div b = 8\) gives \(b = 7\) (since \(56\div7=8\)), and she bought 7 bags, so the number of bags she has matches the number needed to put 8 muffins in each bag.