Question

1ft. = 12 in.
1 yd. = 3 ft.
1 yd. = 36 in.
1 mi. = 5280 ft.
1 mi. = 1760 yd.
the school council has 6 yd. of fabric that will be cut into strips 8 in. wide to make decorative banners for the school dance. how many banners can be made?
tyrell has 12 ft. of cord to make friendship bracelets. each bracelet needs 8 in. of cord.

• how many bracelets can tyrell make?
• if tyrell purchased the cord for $3.25/ft and sells each bracelet for $7, how much profit will tyrell make?

Explanation:

First Sub - Question (Number of Banners)

Step1: Convert yards to inches

We know that \(1\) yd. \( = 36\) in. So for \(6\) yd. of fabric, we calculate the total inches by multiplying the number of yards by the conversion factor.
\(6\times36 = 216\) inches.

Step2: Calculate the number of banners

Each banner is \(8\) inches wide. To find the number of banners, we divide the total number of inches of fabric by the width of each banner.
\(\frac{216}{8}=27\)

Step1: Convert feet to inches

We know that \(1\) ft. \( = 12\) in. So for \(12\) ft. of cord, we calculate the total inches by multiplying the number of feet by the conversion factor.
\(12\times12 = 144\) inches.

Step2: Calculate the number of bracelets

Each bracelet needs \(8\) inches of cord. To find the number of bracelets, we divide the total number of inches of cord by the length needed for each bracelet.
\(\frac{144}{8}=18\)

Step1: Calculate the cost of the cord

Tyrell purchased \(12\) ft. of cord at \(\$3.25\) per ft. The cost \(C\) is calculated by multiplying the length of the cord by the cost per foot.
\(C = 12\times3.25=\$39\)

Step2: Calculate the revenue from selling bracelets

Tyrell can make \(18\) bracelets and sells each for \(\$7\). The revenue \(R\) is calculated by multiplying the number of bracelets by the selling price per bracelet.
\(R = 18\times7=\$126\)

Step3: Calculate the profit

Profit \(P\) is calculated as revenue minus cost.
\(P=R - C=126 - 39=\$87\)

Answer:

27

Second Sub - Question (Number of Bracelets)