130k views
4 votes
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with

3
4
yard
of fabric. The fabric costs $8 per yard.

You'll apply properties of multiplication in the following steps to find the total cost of the fabric.


Part D
Simplify your expression to find the total cost. Show your work.

1 Answer

2 votes

Certainly! To find the total cost, you can multiply the number of pairs of butterfly wings by the amount of fabric per pair, and then multiply that by the cost per yard of fabric.

Let's denote:

- Number of pairs of butterfly wings = 13

- Amount of fabric per pair = \(\frac{3}{4}\) yards

- Cost per yard of fabric = $8

The expression for the total cost (\(C\)) would be:

\[ C = 13 \times \left(\frac{3}{4}\) yards\right) \times $8 \]

Now, let's simplify this expression:

\[ C = 13 \times \left(\frac{3}{4}\right) \times 8 \]

\[ C = 13 \times \frac{3}{4} \times 8 \]

\[ C = \frac{39}{4} \times 8 \]

\[ C = \frac{39 \times 8}{4} \]

\[ C = \frac{312}{4} \]

\[ C = 78 \]

Therefore, the total cost for the fabric is $78.

User Adardesign
by
7.5k points