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 toast
$1.20 per egg; $1.20 for toast

1 answer

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

From the first equation, we have the equation:

2x + y = 3.00

From the second equation, we have the equation:

x + y = 1.80

We can solve this system of equations by substitution or elimination:

Substitute the second equation into the first equation:

2(1.80 - y) + y = 3.00
3.60 - 2y + y = 3.00
3.60 - y = 3.00
-y = -0.60
y = 0.60

Substitute y = 0.60 back into the second equation:

x + 0.60 = 1.80
x = 1.80 - 0.60
x = 1.20

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

Correct response:
$1.20 per egg; $0.60 for toast