Can someone explain to me how they got the answer ?

Mathematics
Tutor: None Selected Time limit: 1 Day

You rent a wedding venue for a cost of $3200. The cost includes a catered lunch for 50 guests. For each additional guest, though, the catered lunch costs $32.

(c) The amount you have budgeted for the venue and catered lunch is $5500. How many guests can you invite?
(No Response)  

121

 guests

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

for 50 guests  cost is  $3200. 


let the number of unknown guests above 50 which to be invited be x

then, 

  $3200 + 32 x = $5500

  32 x =   $5500 - $3200

         32x  =  $2300

             x =  $2300 / 32

              x = 71.875


so  71.875 + 50(50 guests are included in $3200) = 121.875  guest can be invited for  $5500


  

so since amount is only $5500 the number of guest should be less than 121.875 

so

 answer is 121 guests



Please let me know if you need any clarification. I'm always happy to answer your questions.....thank you
Sep 15th, 2015

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Oct 3rd, 2015
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