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 toas
Let's assume that the cost per egg is E and the cost per piece of toast is T. We can set up a system of equations based on the given information:
Equation 1: 2E + T = 3.00 (charge for two eggs and one toast)
Equation 2: E + T = 1.80 (charge for one egg and one toast)
To solve this system of equations, we can subtract Equation 2 from Equation 1:
(2E + T) - (E + T) = 3.00 - 1.80
2E - E + T - T = 1.20
E = 1.20
Substituting E = 1.20 back into Equation 2:
1.20 + T = 1.80
T = 1.80 - 1.20
T = 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 toast
Let's assume the cost per egg is E and the cost per piece of toast is T.
From 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 isolate T as follows:
T = 1.80 - E
Substituting this value of T into equation 1, we get:
2E + (1.80 - E) = 3.00
2E + 1.80 - E = 3.00
E + 1.80 = 3.00
E = 3.00 - 1.80
E = 1.20
Now, we can substitute the value of E back into equation 2 to find the value of T:
1.20 + T = 1.80
T = 1.80 - 1.20
T = 0.60
Therefore, Kendra charges $1.20 per egg and $0.60 per piece of toast.
To find out the cost per egg and per piece of toast, we can set up a system of equations based on the given information.
Let's denote the cost per egg as 'e' and the cost per piece of toast as 't'.
From the given information, we can form two equations:
Equation 1: 2e + t = 3.00 (Two eggs and one piece of toast cost $3.00)
Equation 2: e + t = 1.80 (One egg and one piece of toast cost $1.80)
To solve this system of equations, we can use the method of substitution or elimination.
Method 1: Substitution
We solve Equation 2 for either variable, e or t, and substitute it into Equation 1.
From Equation 2, we can solve e = 1.80 - t.
Substituting this value of 'e' into Equation 1:
2(1.80 - t) + t = 3.00.
Simplifying this equation:
3.60 - 2t + t = 3.00
3.60 - t = 3.00
-t = 3.00 - 3.60
-t = -0.60
t = 0.60
Now that we have the value of 't', we can substitute it back into Equation 2 to solve for 'e':
e + 0.60 = 1.80
e = 1.80 - 0.60
e = 1.20
Therefore, Kendra charges $1.20 per egg and $0.60 per piece of toast.
So, the correct response is:
$1.20 per egg; $0.60 for toast.