Kinder owns a restaurant she charges $3 for two eggs and one piece of toast and a $1.80 for one egg and one piece of toast how much does Kendra charge for egg how much per piece of toast right and solve the system of equations
Let's represent the cost of one egg as "x" and the cost of one piece of toast as "y."
From the first statement, we can create the equation:
2x + y = 3. (Equation 1)
From the second statement, we can create the equation:
x + y = 1.80. (Equation 2)
To solve this system of equations, we can use the substitution method or the elimination method.
Using the substitution method:
From Equation 2, we can rearrange it to solve for x:
x = 1.80 - y.
Substitute this value of x in Equation 1:
2(1.80 - y) + y = 3.
Expand and simplify:
3.60 - 2y + y = 3.
Combine like terms:
3.60 - y = 3.
Subtract 3.60 from both sides:
-y = -0.60.
Multiply by -1 to solve for y:
y = 0.60.
Now substitute this value of y into Equation 2:
x + 0.60 = 1.80.
Subtract 0.60 from both sides:
x = 1.20.
Therefore, Kinder charges $1.20 for one egg and $0.60 for one piece of toast.
Using the elimination method:
Multiply Equation 2 by -2:
-2x - 2y = -3.60. (Equation 3)
Now add Equation 1 and Equation 3 together:
(2x + y) + (-2x - 2y) = 3 + (-3.60).
Simplify:
-y = -0.60.
Multiply by -1 to solve for y:
y = 0.60.
Now substitute this value of y into Equation 2:
x + 0.60 = 1.80.
Subtract 0.60 from both sides:
x = 1.20.
Again, we find that Kinder charges $1.20 for one egg and $0.60 for one piece of toast.