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

$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 toast

Answer 1

Let's denote the cost per egg as "e" and the cost per piece of toast as "t".

According to 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 solve for t in terms of e:
t = 1.80 - e

Substituting this expression for t into equation 1, we get:
2e + (1.80 - e) = 3.00

Simplifying the equation:
2e + 1.80 - e = 3.00
e + 1.80 = 3.00

Subtracting 1.80 from both sides:
e = 3.00 - 1.80
e = 1.20

Now, substituting this value of e into equation 2 to solve for t:
1.20 + t = 1.80
t = 1.80 - 1.20
t = 0.60

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

Therefore, the correct answer is:
$1.20 per egg; $0.60 for toast.