To solve the problem, we need to determine how much bacon Omar will use and how many BLT sandwiches he can make when he uses 2 full heads of lettuce.
Step 1: Calculate the number of tomatoes used
From the problem, we know that Omar uses 5 tomatoes for every full head of lettuce. If he uses 2 heads of lettuce:
\[ \text{Total tomatoes} = 5 \times 2 = 10 \text{ tomatoes} \]
Step 2: Calculate the amount of bacon used
We also know that Omar uses \( \frac{1}{20} \) pounds of bacon for every 2 tomatoes.
First, we find out how many pairs of tomatoes there are in 10 tomatoes:
\[ \text{Number of pairs of tomatoes} = \frac{10 \text{ tomatoes}}{2 \text{ tomatoes per pair}} = 5 \text{ pairs} \]
Next, we calculate the total amount of bacon used for these 5 pairs:
\[ \text{Amount of bacon} = 5 \text{ pairs} \times \frac{1}{20} \text{ pounds of bacon per pair} = \frac{5}{20} = \frac{1}{4} \text{ pounds of bacon} \]
Step 3: Calculate the total number of BLT sandwiches made with bacon
Now we need to determine how many BLT sandwiches can be made with the amount of bacon we calculated. We know that 3/4 pounds of bacon is used to make 4 sandwiches.
To find out how many sandwiches can be made with \( \frac{1}{4} \) pounds of bacon, we need to set up a proportion:
Let \( x \) be the number of sandwiches made with \( \frac{1}{4} \) pounds of bacon.
From the ratio we have: \[ \frac{3/4}{4} = \frac{1/4}{x} \]
Cross-multiplying gives: \[ (3/4) \cdot x = (1/4) \cdot 4 \]
Solving for \( x \):
\[ (3/4) \cdot x = 1 \quad \Rightarrow \quad x = \frac{1}{3/4} = \frac{4}{3} \]
Thus, the number of sandwiches that can be made is:
\[ x = \frac{4}{3} \text{ sandwiches} \]
Final Results
To summarize:
- The amount of bacon used is \( \frac{1}{4} \) pounds.
- The total number of BLT sandwiches made is \( \frac{4}{3} \) or approximately 1.33 sandwiches.
Therefore, filling in the blanks, we have:
Omar is going to use 1/4 pounds of bacon and will make a total of 4/3 BLT sandwiches.