Questions: If the value of 1 roll of gauze is 0.69, what is the value of 3 1/2 rolls?

If the value of 1 roll of gauze is 0.69, what is the value of 3 1/2 rolls?
Transcript text: If the value of 1 roll of guaze is $\$ 0.69$, what is the value of $3 \frac{1}{2}$ rolls?
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Solution

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Solution Steps

Step 1: Understand the problem

The problem asks for the value of \( 3 \frac{1}{2} \) rolls of gauze, given that 1 roll costs \$0.69.

Step 2: Convert the mixed number to an improper fraction

Convert \( 3 \frac{1}{2} \) to an improper fraction: \[ 3 \frac{1}{2} = \frac{7}{2} \]

Step 3: Calculate the total value

Multiply the number of rolls by the cost per roll: \[ \text{Total value} = \frac{7}{2} \times 0.69 = \frac{7 \times 0.69}{2} \]

Step 4: Perform the multiplication

Calculate \( 7 \times 0.69 \): \[ 7 \times 0.69 = 4.83 \]

Step 5: Divide by 2

Divide the result by 2: \[ \frac{4.83}{2} = 2.415 \]

Step 6: Round to four significant digits

Round 2.415 to four significant digits: \[ 2.415 \approx 2.415 \]

Final Answer

The value of \( 3 \frac{1}{2} \) rolls of gauze is \\(\boxed{\$2.415}\\).

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