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
$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.
