Question

Jim runs a food cart and during a busy outdoor festival he sold $7343.75 worth of food. he sells hot dogs for $2.95 and steak sandwiches for $9.95. if he sold a total of 985 items that day, how many of each item did he sell? and show your work

Answer 1

$7343 worth of food
$2.95 hot dogs (h)
$9.95 steak sandwiches (s)
985 items sold
so what you want to do is set up two equations
h+s=985
2.95h+9.95s=7343.75
solve one of these equations for a variable
h+s=985 subtract s
h=-s+985 plug into other equation
2.95(-s+985)+9.95s=7343.75 multiply out
-2.95s+2905.75+9.95s=7343.75 combine like terms
7s+2905.75=7343.75 subtract 2905.75 from both sides
7s=4438 divide by 7
s=634 then plug this number into one of the equations preferably the simpler one
h+634=985 subtract 634 from both sides
h=351
the amount of hot dogs sold is 351 and the amount of steak sandwiches is 634
i hope this helps.