Jim runs a food cart and during a busy outdoor festival he sold $7343.75 worth of food. He sells hotdogs 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?

Thank you for the opportunity to help you with your question!

Let H = the number of hotdogs Jim sells

Let S = the number of steak sandwiches Jim sells

Then,

H + S = 985

and

2.95H + 9.95S = 7343.75

S = 985 - H

Now substitute

2.95H + 9.95(985 - H) = 7343.75

2.95H + 9800.75 - 9.95H = 7343.75

-7H = -2457

H = 351 hotddogs

S = 985 - 351 = 634 steak sandwiches

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