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 represent the cost per egg as "x" and the cost per piece of toast as "y".
According to the first sentence, Kendra charges $3.00 for two eggs and one piece of toast. This can be written as:
2x + y = 3.00.
According to the second sentence, Kendra charges $1.80 for one egg and one piece of toast. This can be written as:
x + y = 1.80.
Now we have the system of equations:
2x + y = 3.00,
x + y = 1.80.
We can solve this system of equations using the method of substitution or elimination.
Substitution method:
Solve one of the equations for one variable in terms of the other variable, then substitute this expression into the other equation.
From the second equation, we can solve for y:
y = 1.80 - x.
Now we can substitute this expression for y into the first equation:
2x + (1.80 - x) = 3.00.
2x + 1.80 - x = 3.00.
Combine like terms:
x + 1.80 = 3.00.
Subtract 1.80 from both sides:
x = 1.20.
Now that we have the value of x, we can substitute it back into either of the original equations to solve for y.
Let's use the second equation:
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.