SOLUTION: Set up an algebraic equation that could represent the following life situation: a) Mpho is trying to make money to help pay for his studies at the university by selling h

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Question 1156117: Set up an algebraic equation that could represent the following life situation:

a) Mpho is trying to make money to help pay for his studies at the
university by selling hot dogs from a hot-dog cart at a soccer
stadium during major games. He pays the cart owner R75 per
night for the use of the cart. He sells hot dogs for R16,50 each.
His costs for the hot dogs, napkins, etc. are R9,60 per hot dog on
average. Calculate the number of hotdogs that Mpho has to sell
to break even (make a zero profit).

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Let number of hot dogs sold be x
Revenue = 16.50 x
Rent = $ 75 per night
Income = revenue - expenditure
9.60 /hot dog variable cost
=16.50 x -75 - 9.60x
= 6.90x -75
6.90x=75
x= 10.8 hot dogs
11 hot dogs to break even

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