Find smallest number of people who have to go on tour


There is rising interest in touring place of the birth. You amke decision to make the little easy money giving those tours at the charge of $50 per person. But that is bit excessive, so, you make decision to give group discounts of $1 per additional person. Or we can say, if two people take tour, you will charge $49 per person for the total of $98. If 3 people decide to take tour, you will charge $48 per person for a total of $144.

a) How many people have to go on tour for you to build $700?
b) Now you amke decision to add the fee of $206 per tour group regardless of size. Find smallest number of people who have to go on the tour for you to build $700?
If you are going to charge that much for the tour, you decide you must at least give everybody lunch. Suppose that each person on tour is going to eat the $4 lunch, cost of which comes out of the pocket. Also suppose that caterer is going to charge you flat fee of $50, regardless of how many people eat.

c) Find smallest number of people who have to go on tour for you to make $700 under the situations? Interpret all your answers.

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Mathematics: Find smallest number of people who have to go on tour
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