Answer:
cost of ribeye steak dinners = $10.36
cost of grilled salmon= $11.581
Step-by-step explanation:
Let the cost of one steak dinners be x
Let the cost of one grilled salmon be y
One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as
12(x)+39(y)= $575.53-------------------------------------(1)
On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as
25(x)+ 13(y)= $582.43-------------------------------------(2)
solving the equation (1) and (2)
eq(1) x 1[tex]12x+39y= 575.53[/tex]
eq(2) x 3[tex]125x+ 39y= 1747.29[/tex]-------------------------(3)
Subtracting these equation we get,
[tex]113x=1171.76[/tex]
[tex]x=\frac{1171.76}{113}[/tex]
x= 10.36
Now substituting this in equation (1)
[tex]12(10.36)+39(y)= $575.53[/tex]
[tex]123.84+39y=575.53[/tex]
[tex]39y=575.53 - 123.84[/tex]
[tex]y=\frac{451.69}{39}[/tex]
y=11.581
