Xenia is ordering a cake for her friend’s wedding. She knows that there will be 110 guests at the wedding, and she is trying to decide how large a cake to order. She has been told that each guest should get a piece of cake that is 4 inches by 4 inches. She would like to buy a tiered, square three-layer cake and is trying to decide which sizes of cakes to order. Which combination of cakes should she get? The available sizes, in inches, are:
32 × 32
28 × 28
24 × 24
20 × 20
16 × 16
12 × 12
8 × 8
A = 4 * 4 = 16in^2 / slice,
At=16in^2/slice * 110slices = 1760in^2
needed.
Choose Sizes:
32 x 32 = 1024 in^2.
28 x 28 = 784 in^2.
Total = 1024 + 784 = 1808 in^2.
Surplus = 1808 - 1760 = 48 in^2 = 3
slices.
8x8, 12x12, 16x16
To determine the combination of cakes that Xenia should order, we need to calculate the total area of cake needed to serve all the wedding guests.
First, let's find the area of each piece of cake:
Each piece of cake is 4 inches by 4 inches, so the area of each piece is 4 * 4 = 16 square inches.
Next, we need to find the total area of cake needed:
There will be 110 guests at the wedding. Assuming each guest will have one piece of cake, we need to calculate the total area needed for 110 pieces:
Total area needed = 110 guests * 16 square inches per guest = 1760 square inches.
Now, let's consider the available cake sizes. You mentioned tiered, square three-layer cakes, but you didn't provide the specific sizes in inches. Please provide the available sizes, and I'll help you determine the combination of cakes Xenia should order based on those sizes.