Question

Suppose 2 eggs with bacon cost 2.70 . One egg with bacon costs 1.80 . At thesebrates what will bacon alone cost

Answer 1

To find the cost of bacon alone, we set up a system of equations from the given prices of egg and bacon combinations. After subtracting one equation from the other, we found the cost of one egg and then solved for the cost of the bacon, which is $0.90.

Step-by-step explanation:

The question asks us to determine the cost of just the bacon using the given prices of combinations that include eggs and bacon. By setting up a system of equations, we can solve for the individual cost of bacon and eggs.

Let's denote the cost of one egg as E and the cost of bacon as B. We have two equations based on the information provided:

• 
  
• 2E + B = $2.70 (for 2 eggs with bacon)
• 
  
• E + B = $1.80 (for 1 egg with bacon)

If we subtract the second equation from the first, we get:

2E + B - (E + B) = $2.70 - $1.80

E = $0.90

Now that we know the price of one egg, we can use the second equation to find the cost of bacon:

0.90 + B = $1.80

B = $1.80 - $0.90

B = $0.90

Therefore, the cost of bacon alone is $0.90.

Answer 2

If 2 eggs with bacon cost 2.70, and 1 egg with bacon costs 1.80, that means that 1 egg costs 0.90, so when we subtract once more 0.90 we get the price of the bacon alone, which is in this case 0.90.