Question

a group of neighbors is holding an end of summer block party. they buy p packs of hot dogs, with 8 hot dogs in each pack. all together, they have 56 hot dogs for the party.
write an equation to describe this situation.

how many packs of hot dogs did the neighbors buy?

Explanation:

Step1: Identify the relationship

The total number of hot dogs is the number of packs times the number of hot dogs per pack. So, if there are \( p \) packs and 8 hot dogs per pack, the total is \( 8p \), and this equals 56.

Step2: Write the equation

The equation is \( 8p = 56 \).

Step3: Solve for \( p \)

To find \( p \), divide both sides of the equation \( 8p = 56 \) by 8: \( p=\frac{56}{8}=7 \).

Answer:

The equation is \( 8p = 56 \), and the number of packs \( p = 7 \).