kendra owns a restaurant. she charges $3.00 for 2 eggs and 1 toast, and $1.80 for one egg and one piece of toast. how much does kendra charge for an egg? a piece of toast?
2e + t = 3.00
1e + t = 1.80
subtract
e = 1.20
so, t = .60
One egg costs $1.20 and one piece of toast costs $0.60
yea almost 9 years ago...
I hope Steve's doing well, he's correct.
Jw.Org
How did you get t=.60???
To determine the price of an egg and a piece of toast individually, we need to solve a system of equations using the given information.
Let's assume the cost of an egg is represented by 'x' dollars and the cost of a piece of toast is represented by 'y' dollars.
From the given information, we have two equations:
Equation 1: 2x + y = 3.00
This equation represents the cost of 2 eggs and 1 toast, which is $3.00.
Equation 2: x + y = 1.80
This equation represents the cost of 1 egg and 1 piece of toast, which is $1.80.
To solve this system of equations, we can use the method of substitution or elimination. In this case, we will use the method of elimination.
Subtracting equation 2 from equation 1, we get:
(2x + y) - (x + y) = 3.00 - 1.80
Simplifying, we have:
x = 1.20
Now, substitute this value of 'x' into either Equation 1 or Equation 2 to solve for 'y'.
Using Equation 2:
1.20 + y = 1.80
Subtracting 1.20 from both sides:
y = 1.80 - 1.20
y = 0.60
Therefore, Kendra charges $1.20 for an egg and $0.60 for a piece of toast.