<div>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.</div>
Let's assume that Kendra charges $x for an egg and $y for a piece of toast.
From the given information, we can write the following system of equations:
Equation 1: $3.00 = 2x + y (for two eggs and one piece of toast)
Equation 2: $1.80 = x + y (for one egg and one piece of toast)
To solve this system of equations, we can use the method of substitution or elimination.
Let's solve it using the method of substitution:
From Equation 2, we can express y in terms of x by subtracting x from both sides:
$1.80 - x = y
Now, substitute this value of y into Equation 1:
$3.00 = 2x + ($1.80 - x)
$3.00 = x + $1.80 + $0.20x
$3.00 - $1.80 = $1.20 = $0.20x
$1.20/$0.20 = x
x = $6.00
Now substitute this value of x into Equation 2 to find y:
$1.80 = $6.00 + y
$1.80 - $6.00 = y
-$4.20 = y
Therefore, Kendra charges $6.00 per egg and -$4.20 (or you could say $4.20 discount) per piece of toast.
However, a negative charge for a piece of toast isn't practical, so let's make a reasonable assumption that Kendra charges $4.20 per piece of toast. Thus, we can conclude that Kendra charges $6.00 per egg and $4.20 per piece of toast.