Kendra owns a restaurant. She decides to charge $1.50 for two eggs and one piece of toast and $0.90 for one egg and one piece of toast. How much money is she charging for each egg and each piece of toast?
$0.60 for each egg
$0.30 for each piece of toast
To find out how much Kendra is charging for each egg and each piece of toast, we can set up a system of equations.
Let's denote the cost of one egg as 'e' and the cost of one piece of toast as 't'.
From the given information, we have two equations:
1) Two eggs and one piece of toast cost $1.50:
2e + 1t = $1.50
2) One egg and one piece of toast cost $0.90:
1e + 1t = $0.90
To solve these equations, we can use a method called substitution or elimination.
I'll use the method of substitution:
1) Solve equation 2) for e:
e = $0.90 - 1t
2) Substitute the value of e in equation 1):
2($0.90 - 1t) + 1t = $1.50
Simplifying equation 2):
$1.80 - 2t + 1t = $1.50
-t = $1.50 - $1.80
-t = -$0.30
Multiply both sides by -1 to solve for t:
t = $0.30
Now we have the cost of one piece of toast, t = $0.30.
Substitute this value back into equation 2) to find the cost of one egg, e:
1e + 1($0.30) = $0.90
e + $0.30 = $0.90
e = $0.90 - $0.30
e = $0.60
Therefore, Kendra is charging $0.60 for each egg and $0.30 for each piece of toast.