Kendra owns a resturaunt. 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.
Responses:
$1.20 per egg; $0.60 for toast
$0.60 per egg; $1.20 for toast
$0.60 per egg; $0.60 for toast
$1.20 per egg; $1.20 for toast
Let's suppose that Kendra charges $x for each egg and $y for each piece of toast.
According to the given information, Kendra charges $3.00 for two eggs and one piece of toast:
2x + y = 3.00
And Kendra charges $1.80 for one egg and one piece of toast:
x + y = 1.80
We can solve this system of equations by substitution or elimination.
By elimination:
- Multiply the second equation by 2: 2(x + y) = 2(1.80)
- Simplify: 2x + 2y = 3.60
- Subtract the first equation from the second equation: (2x + 2y) - (2x + y) = 3.60 - 3.00
- Simplify: y = 0.60
Substitute the value of y = 0.60 into the first equation:
2x + 0.60 = 3.00
2x = 3.00 - 0.60
2x = 2.40
x = 2.40/2
x = 1.20
Therefore, Kendra charges $1.20 per egg and $0.60 per piece of toast.
The correct answer is: $1.20 per egg; $0.60 for toast