SOLUTION: i need help solving this problem.... please and thank you... jim runs a food cart and during a busy out door festival he sold $7343.75 worth of food. he sells hot dogs for $2.95 an

Question 190634: i need help solving this problem.... please and thank you... jim runs a food cart and during a busy out door 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?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
jim runs a food cart and during a busy out door 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?
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Quantity Equation: d + s = 985
Value Equation::295d + 995s = 734375 cents
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Multiply thru the 1st equation by 295 to set up the system for elimination:
295d + 295s = 295*985
295d + 995s = 734375 cents
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Subtract the 1st from the 2nd so you can solve for "s":
700s = 443800
s = 634 (# of steack sandwiches sold)
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Substitute into d+s = 985 to solve for "d":
d + 634 = 985
d = 351 (# of hot dogs sold)
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Cheers,
Stan H.

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