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

Answer 1

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.