Question

A club is baking a cake for a large party. They expect approximately 210 people to attend the party and plan to serve 3-inch by 3-inch portions of cake. How many 18-inch by 24-inch cake pans will the club need to serve each person one portion of cake?

Answer 1

equations and stuff

Explanation:

To calculate the number of 18-inch by 24-inch cake pans needed, we need to determine how many 3-inch by 3-inch portions can be cut from each pan.

First, we need to find the area of the cake pan:

Area of one cake pan = Length × Width = 18 inches × 24 inches = 432 square inches.

Next, we need to find the area of one portion of cake:

Area of one portion = Length × Width = 3 inches × 3 inches = 9 square inches.

Now we can calculate how many portions of cake can be cut from one cake pan:

Number of portions per pan = Area of one cake pan / Area of one portion = 432 square inches / 9 square inches = 48 portions.

Since each pan can yield 48 portions of cake, we can divide the total number of attendees by the number of portions per pan to find the number of pans needed:

Number of pans needed = Total number of attendees / Number of portions per pan = 210 people / 48 portions = 4.375.

Since we cannot have a fraction of a cake pan, we need to round up to the nearest whole number. Therefore, the club will need 5 (or more precisely, 5 pans and some extra portions) of the 18-inch by 24-inch cake pans to serve each person one portion of cake.