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.

Question

(1 point)
Responses

a. $1.20 per egg; $0.60 for toast

b. $0.60 per egg; $1.20 for toast

c. $0.60 per egg; $0.60 for toast

d. $1.20 per egg; $1.20 for toast

Answer 1

Let x be the cost per egg and y be the cost per piece of toast.

From the first statement, we have the equation:
2x + y = 3.00

From the second statement, we have the equation:
x + y = 1.80

Now we can solve this system of equations.

Multiplying the second equation by 2, we get:
2x + 2y = 3.60

Subtracting the first equation from this new equation, we get:
2x + 2y - (2x + y) = 3.60 - 3.00
2y - y = 0.60
y = 0.60

Substituting the value of y back into the second equation:
x + 0.60 = 1.80
x = 1.20

Therefore, Kendra charges $1.20 per egg and $0.60 per piece of toast.

The correct answer is:
a. $1.20 per egg; $0.60 for toast