Question 66766

Let x=fixed cost for preparing dinner
And y=cost for each person served

Now we are told that the fixed cost (x) plus the total cost per person served (100y)equals $750.  So our first equation is:

(1)  x+100y=750

We are also told that the fixed cost (x) plus the total cost per person (150y) equals $1050.  So we have our 2nd equation:

(2)x+150y=$1050

Subtract (1) from (2)

50y=300
y=$6  -----------Cost for each person served

Substitute y=$6 in (1)
x+100($6)=$750
x+$600=$750  subtract $600 from both sides
x=$750-$600=$150 Fixed cost of preparing dinner

CK

fixed cost($150) plus cost per person ($6)(100)=$750
$150+$600=$750
$750=$750



Also fixed cost ($150) plus cost per rerson (150)($6)=$1050
$150+$900=$1050
$1050=$1050


Hope this helps----ptaylor