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.
Let's assume that Kendra charges $x for one egg and $y for one piece of toast.
From the given information, we can set up the following system of equations:
2x + y = 3.00 (equation 1)
x + y = 1.80 (equation 2)
To solve this system, we can use the method of substitution. Let's solve equation 2 for y:
y = 1.80 - x
Now substitute this expression for y into equation 1:
2x + (1.80 - x) = 3.00
2x + 1.80 - x = 3.00
x + 1.80 = 3.00
x = 3.00 - 1.80
x = 1.20
Now substitute the value of x back into equation 2 to find the value of y:
1.20 + y = 1.80
y = 1.80 - 1.20
y = 0.60
Therefore, Kendra charges $1.20 per egg and $0.60 per piece of toast.