SOLUTION: Your family is planning a birthday party for you and is getting it catered . hamiltons catering charges $15 per person and Turaskys catering charges an initial fee of $50 and charg

Algebra ->  Equations -> SOLUTION: Your family is planning a birthday party for you and is getting it catered . hamiltons catering charges $15 per person and Turaskys catering charges an initial fee of $50 and charg      Log On


   

Question 1176246: Your family is planning a birthday party for you and is getting it catered . hamiltons catering charges $15 per person and Turaskys catering charges an initial fee of $50 and charges $10 per person .at what number of people is Hamilton’s catering the cheaper option? Show all work
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x = # of persons.


The formula for Hamilton's cost is  15x  dollars.


The formula for Turaskis' cost is  50 + 10x  dollars.


Hamilton is cheaper if and only if


    15x < 50 + 10x


Simplify and solve


    15x - 10x < 50

       5x     < 50

        x     < 50/5 = 10.


Answer.  Hamilton is cheaper than Turaskis if and only if  the number of peop[le is LESS than 10.

Solved.