Kendra owns a restaurant. She charges $3.00 for two eggs and one piece of toast and $1.80 for one egg and one piece of toast. How much does Kendra charge per egg? How much per piece of toast? Write and solve a system of equations.
(1 point)
Responses
$1.20 per egg; $0.60 for toast
$1.20 per egg; $0.60 for toast
$0.60 per egg; $1.20 for toast
$0.60 per egg; $1.20 for toast
$0.60 per egg; $0.60 for toast
$0.60 per egg; $0.60 for toast
$1.20 per egg; $1.20 for toast
Let's denote the cost per egg as "e" and the cost per piece of toast as "t".
According to the given information, we can set up the following system of equations:
2e + t = 3.00 (equation 1)
e + t = 1.80 (equation 2)
To solve this system, we can use the method of substitution:
From equation 2, we can solve for t in terms of e:
t = 1.80 - e
Substituting this expression for t into equation 1, we get:
2e + (1.80 - e) = 3.00
Simplifying the equation:
2e + 1.80 - e = 3.00
e + 1.80 = 3.00
Subtracting 1.80 from both sides:
e = 3.00 - 1.80
e = 1.20
Now, substituting this value of e into equation 2 to solve for t:
1.20 + t = 1.80
t = 1.80 - 1.20
t = 0.60
So, Kendra charges $1.20 per egg and $0.60 per piece of toast.
Therefore, the correct answer is:
$1.20 per egg; $0.60 for toast.