Omar owns a sandwich shop, and his best selling sandwich is the BLT. When making BLT sandwiches, it takes of a pound of bacon to make 4 sandwiches. He uses pounds of bacon for every 2 tomatoes used and 5 tomatoes for every full head of lettuce used. If Omar is making enough BLT sandwiches to use 2 full heads of lettuce, then he is going to use pounds of bacon and will make a total of BLT sandwiches.

5 answers

To calculate how many BLT sandwiches Omar will make and how much bacon he will need when using 2 full heads of lettuce, let's break it down step by step:

  1. Determine the number of tomatoes needed:

    Since Omar uses 5 tomatoes for every full head of lettuce, for 2 full heads of lettuce, he will need: \[ \text{Tomatoes} = 5 \text{ tomatoes/head} \times 2 \text{ heads} = 10 \text{ tomatoes} \]

  2. Calculate the amount of bacon needed:

    Omar uses \( \frac{1}{2} \) pound of bacon for every 2 tomatoes. Therefore, for 10 tomatoes: \[ \text{Pounds of bacon} = \frac{1}{2} \text{ pound} \times \left( \frac{10 \text{ tomatoes}}{2 \text{ tomatoes}} \right) = \frac{1}{2} \times 5 = \frac{5}{2} \text{ pounds} = 2.5 \text{ pounds} \]

  3. Determine the number of sandwiches made:

    It takes 1 pound of bacon to make 4 BLT sandwiches. Since Omar will use 2.5 pounds of bacon, the number of BLT sandwiches he can make is: \[ \text{Sandwiches} = 4 \text{ sandwiches/pound} \times 2.5 \text{ pounds} = 10 \text{ sandwiches} \]

In summary, if Omar is making enough BLT sandwiches to use 2 full heads of lettuce, then he is going to use 2.5 pounds of bacon and will make a total of 10 BLT sandwiches.

wrong

Let’s reevaluate the calculations step-by-step to ensure that we arrive at the correct answers.

  1. Tomatoes for 2 Heads of Lettuce:

    • Omar uses 5 tomatoes for every full head of lettuce.
    • For 2 heads of lettuce: \[ 5 \text{ tomatoes/head} \times 2 \text{ heads} = 10 \text{ tomatoes} \]
  2. Bacon Required for 10 Tomatoes:

    • Omar uses \( \frac{1}{2} \) pound of bacon for every 2 tomatoes.
    • Therefore, for 10 tomatoes: \[ \text{Pounds of bacon} = \frac{1}{2} \text{ pound per 2 tomatoes} \times \left( \frac{10 \text{ tomatoes}}{2} \right) = \frac{1}{2} \times 5 = \frac{5}{2} \text{ pounds} = 2.5 \text{ pounds} \]
  3. Sandwiches from 2.5 Pounds of Bacon:

    • It takes 1 pound of bacon to make 4 BLT sandwiches.
    • Since Omar will use 2.5 pounds of bacon: \[ \text{Sandwiches} = 4 \text{ sandwiches/pound} \times 2.5 \text{ pounds} = 10 \text{ sandwiches} \]

So, correctly confirmed:

  • He uses 2.5 pounds of bacon,
  • He makes a total of 10 BLT sandwiches.

If I misunderstood your question or if there are specific details you would like me to focus on, please clarify!

still wrong

Let’s go through each step carefully once more to make sure we get the correct pieces of information.

Given Information:

  1. Bacon Requirement: It takes 1 pound of bacon to make 4 sandwiches.
  2. Tomato and Bacon Relationship: Omar uses \( \frac{1}{2} \) pound of bacon for every 2 tomatoes.
  3. Lettuce and Tomato Relationship: Omar uses 5 tomatoes for every full head of lettuce.

Step-by-Step Calculation:

  1. Calculate the Number of Tomatoes for 2 Heads of Lettuce:

    • For each head of lettuce, he uses 5 tomatoes.
    • If he has 2 heads of lettuce: \[ \text{Total Tomatoes} = 5 \text{ tomatoes/head} \times 2 \text{ heads} = 10 \text{ tomatoes} \]
  2. Calculate the Amount of Bacon Needed for 10 Tomatoes:

    • Based on the information, Omar uses \( \frac{1}{2} \) pound of bacon for every 2 tomatoes.
    • To find the total amount of bacon required for 10 tomatoes: \[ \text{Pounds of Bacon} = \frac{1}{2} \text{ pound} \times \left( \frac{10 \text{ tomatoes}}{2 \text{ tomatoes}} \right) = \frac{1}{2} \text{ pound} \times 5 = \frac{5}{2} \text{ pounds} = 2.5 \text{ pounds} \]
  3. Calculate the Total Number of BLT Sandwiches:

    • Since it takes 1 pound of bacon to make 4 sandwiches:
    • For the 2.5 pounds of bacon: \[ \text{Total Sandwiches} = 4 \text{ sandwiches/pound} \times 2.5 \text{ pounds} = 10 \text{ sandwiches} \]

Conclusion:

Omar will use 2.5 pounds of bacon and make a total of 10 BLT sandwiches if he uses enough ingredients for 2 full heads of lettuce.

If there's still an error, could you please clarify or provide more specific details regarding what aspect may be incorrect? This will help ensure I address it accurately. Thank you!

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