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Applied Mathematics
 Online Tutoring : Forum : Homework Help - Mathematics : Applied Mathematics
Topic Topic: Linear Equations Post ReplyNew Question
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Simon
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Joined: 21 August 2007
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Posted: 21 August 2007 at 3:58pm | IP Logged Quote Simon

hi

 

the question is -

a caterer finds that the expenses for a breakfast consist of two parts: fixed costs and cost per guest. If the expenses to cater for 40 guests are $150 and for 100 guests are $225, what are the fixed costs and cost per guest?

i have to write an equation to suit this

please help thanks

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Amitjha
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Joined: 15 August 2007
Location: India
Posts: 101
Posted: 27 August 2007 at 11:27pm | IP Logged Quote Amitjha

let fixed cost= x,cost /guest= y

then we have x+40y= 150......(1)

    and          x+100y= 225.....(2)

 (2)-(1) we get,  60y = 225-150= 75

                      or y = 75/60= 5/4=1.25$

therefore x= 225-100y=225-100(1.25) =225-125= 100 $

hence fixed cost = 100 $ and cost/guest= 1.25$ answer



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