Select the correct answer from each drop-down menu.

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

1 answer

Let's break down the problem step by step:

  1. Bacon required for sandwiches: If it takes \( \frac{1}{4} \) pound of bacon to make 4 sandwiches, then the amount of bacon used per sandwich is: \[ \text{Bacon per sandwich} = \frac{1}{4} \text{ pound} / 4 = \frac{1}{16} \text{ pound} \]

  2. Tomatoes needed: We know that Omar uses 5 tomatoes for every full head of lettuce. If he is using 2 full heads of lettuce: \[ \text{Total tomatoes} = 5 \text{ tomatoes/head} \times 2 \text{ heads} = 10 \text{ tomatoes} \]

  3. Bacon needed based on tomatoes: It takes \( 2 \) tomatoes to use \( 1 \) pound of bacon. So for \( 10 \) tomatoes, the amount of bacon needed is: \[ \text{Bacon needed} = \left( \frac{10 \text{ tomatoes}}{2 \text{ tomatoes/pound}} \right) = 5 \text{ pounds of bacon} \]

Now, we summarize the answers for each drop-down menu:

  • Bacon used for 2 heads of lettuce: 5 pounds
  • Total BLT sandwiches made:
    • Since each sandwich requires \( \frac{1}{4} \) pound of bacon, and with 5 pounds of bacon, the total number of sandwiches made is: \[ \text{Total sandwiches} = 5 \text{ pounds} / \left( \frac{1}{4} \text{ pounds/sandwich} \right) = 20 \text{ sandwiches} \]

Therefore, the filled drop-down answers are:

  • Omar is going to use 5 pounds of bacon and will make a total of 20 BLT sandwiches.