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 sandwhiches. 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 blank pounds of bacon and will make a total of blank blt sandwiches.

Answer 1

To calculate the amount of bacon Omar will use to make BLT sandwiches and the total number of sandwiches, we follow the given conversion factors. We set up proportions to find the amount of bacon used for the total sandwiches and the two full heads of lettuce. The total number of sandwiches is found by dividing the number of tomatoes by 5.

Step-by-step explanation:

To calculate the amount of bacon Omar will use to make BLT sandwiches and the total number of sandwiches, we need to follow the given conversion factors. 1. For every 4 sandwiches, 3/4 of a pound of bacon is used. So, we can set up a proportion: 3/4 pound / 4 sandwiches = x pound / total sandwiches. Solving for x will give us the amount of bacon used for the total sandwiches. 2. For every 2 tomatoes, 1 1/20 pounds of bacon is used. Since Omar is using 5 tomatoes for two full heads of lettuce, we can set up another proportion: 1 1/20 pounds / 2 tomatoes = x pound / 5 tomatoes. Solving for x will give us the amount of bacon used for the two full heads of lettuce. To find the total amount of bacon used, we add the amount used in the sandwiches to the amount used for the lettuce. Finally, the total number of sandwiches can be found by dividing the number of tomatoes by 5.

Answer 2

He is going to use 21/4 pounds of bacon.

He will make a total of 28 BLT sandwiches.

Step-by-step explanation:

It is given that:

• for every full head of lettuce used the number of tomatoes used are: 5

This means that when he used 2 full heads of lettuce then the number of tomatoes which are used are: 10

( since for 1 head of lettuce --- 5 tomatoes are used.

and for 2 head lettuce---- 5×2=10 tomatoes are used )

• Now, it is given that for every two tomatoes used 1 1/20 pounds of bacon is used.

i.e. for every 2 tomatoes -- 21/20 pounds of bacon is used.

Hence, for 1 tomato--- (21/20)×(1/2) pound of bacon is used.

i.e. for 1 tomato ---- 21/40 pound of bacon is used.

Hence, for 10 tomatoes ---(21/40)1×10 pounds of bacon is used.

i.e. for 10 tomatoes ---- 21/4 pounds of bacon is used.

• Now, it is given that:

with the help of 3/4 pounds of bacon 4 sandwiches are made.

Hence, with the help of 1 pound of bacon 16/3 sandwiches will be made.

Hence, with the help of 21/4 pounds of bacon (16/3)×(21/4) sandwiches could be made.

i.e. with the help of 21/4 pounds of bacon 28 sandwiches could be made.