Question

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

Explanation:

Step1: Solve the equation for \( b \)

Given the equation \( 56 \div b = 8 \), we can rewrite it as \( \frac{56}{b}=8 \). Multiply both sides by \( b \) to get \( 56 = 8b \). Then divide both sides by 8: \( b=\frac{56}{8}=7 \).

Step2: Compare with bought bags

Nadia bought 7 bags. The value of \( b \) (number of bags needed) is also 7. So we compare the number of bags needed (\( b = 7 \)) with the number of bags bought (7).

Answer:

To determine if Nadia bought enough bags, we solve the equation \( 56\div b = 8 \):

1. Rewrite as \( \frac{56}{b}=8 \), multiply by \( b \): \( 56 = 8b \).
2. Divide by 8: \( b=\frac{56}{8}=7 \).

Nadia bought 7 bags, and the equation shows \( b = 7 \) (bags needed). Since \( 7=7 \), Nadia bought enough bags.