Answer:
• The cost per egg is $0.7, and the cost per sausage patty is $0.83.
,• You would expect to pay $9.31 for Glutton's Breakfast.
Explanation:
• Let the cost per egg = e
,• Let the cost per sausage patty = p
2 eggs with 1 sausage patty cost $2.23
[tex]2e+p=2.23\ldots(1)[/tex]3 eggs with 2 sausage patties cost $3.76
[tex]3e+2p=3.76\ldots(2)[/tex]We solve the system of linear equations for e and p.
From the first equation:
[tex]p=2.23-2e[/tex]Substitute into equation (2):
[tex]\begin{gathered} 3e+2p=3.76 \\ 3e+2(2.23-2e)=3.76 \\ 3e+4.46-4e=3.76 \\ -e+4.46=3.76 \\ e=4.46-3.76 \\ e=0.7 \end{gathered}[/tex]Next, solve for p:
[tex]\begin{gathered} p=2.23-2e \\ =2.23-2(0.7) \\ p=0.83 \end{gathered}[/tex]The cost per egg, e is $0.7, and the cost per sausage patty, p is $0.83.
Next, we find out how much you would expect to pay for Glutton's Breakfast.
[tex]\begin{gathered} 5e+7p=5(0.7)+7(0.83) \\ =3.5+5.81 \\ =9.31 \end{gathered}[/tex]You would expect to pay $9.31 for Glutton's Breakfast.
