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.

Respuesta :

 Are you sure you meant to type " [tex]1 \frac{1}{20} [/tex] " ? or did you mean "[tex]1 \frac{1}{2} [/tex] "

Answer:

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.