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.
$1.20 per egg: $0.60 for toast
$0.60 per egg; $1.20 for toast
$0.60 per egg; $0.60 for toast
$1.20 per egg: $1.20 for toast
Let's assume that the cost of one egg is x and the cost of one piece of toast is y.
According to the information given, 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. Rearrange equation 2 to solve for y:
y = 1.80 - x
Substitute this value of y into equation 1:
2x + (1.80 - x) = 3.00
Combine like terms:
2x + 1.80 - x = 3.00
Simplify:
x + 1.80 = 3.00
Subtract 1.80 from both sides:
x = 1.20
Substitute this value of x back into equation 2 to solve for y:
1.20 + y = 1.80
Subtract 1.20 from both sides:
y = 0.60
Therefore, Kendra charges $1.20 per egg and $0.60 per piece of toast.
The correct answer is:
$1.20 per egg; $0.60 per piece of toast.