Omar owns a sandwich shop, and his best selling sandwich is the BLT. When making BLT sandwiches, it takes 3/4 of a pound of bacon to make 4 sandwiches. He uses 1 1/20 pounds of bacon for every 2 tomatoes used and 5 tomatoes for every full head of lettuce used.

Question

Omar owns a sandwich shop, and his best selling sandwich is the BLT.  When making BLT sandwiches, it takes 3/4 of a pound of bacon to make 4 sandwiches.  He uses 1 1/20 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.

GPT 3.5 · Answer

To find out how much bacon Omar will use, we first need to determine how many BLT sandwiches can be made with 2 full heads of lettuce.

First, we need to find out how many tomatoes are needed:
- 5 tomatoes are needed for every full head of lettuce
- Since we have 2 full heads of lettuce, we need 5 tomatoes x 2 = 10 tomatoes

Now, let's find out the amount of bacon needed to make 10 BLT sandwiches:
- It takes 1 1/20 pounds of bacon for every 2 tomatoes used
- 10 tomatoes ÷ 2 = 5 (number of times 2 tomatoes go into 10 tomatoes)
- 1 1/20 pounds x 5 = 1 1/20 x 5/1 = 5 1/20 pounds
- 5 1/20 pounds = 5.05 pounds

Therefore, Omar will use 5.05 pounds of bacon to make enough BLT sandwiches to use 2 full heads of lettuce.

Now, let's determine how many BLT sandwiches can be made with 5.05 pounds of bacon:
- It takes 3/4 of a pound of bacon to make 4 sandwiches
- 5.05 pounds ÷ 3/4 pounds = 5.05 ÷ 0.75 = 6.7333...
- Since we can't make a fraction of a sandwich, Omar will be able to make 6 BLT sandwiches

Therefore, Omar will use 5.05 pounds of bacon and will make a total of 6 BLT sandwiches.