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You purchase 5 tickets to a football game from an Internet agency. In addition to the cost per ticket, the agency charges a convinience charge of $2.50 per ticket. You choose to pay for rush delivery, which costs $15. The total cost of your order is $352.50. What is the price per ticket not including the convinience proce?

 Oct 6, 2014

Best Answer 

 #3
avatar+118587 
+10

Sorry isi, this bit is incorrect

337.5 = 2.5(5x)

it should  be 

337.5=5(x+2.5)

 

$${\mathtt{337.5}} = {\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2.5}}\right) \Rightarrow {\mathtt{x}} = {\mathtt{65}}$$

the tickets are $65 each just like Geno3141 said.

I'll give you points for your good effort.   

 Oct 7, 2014
 #1
avatar+23245 
+10

Let the price of a ticket be  x.

Since you bought 5 tickets, the total cost for all five tickets is  5x.

The convenience charge is  2.50 per ticket, and since there are 5 tickets, this will be  2.50·5.

To this you have to add  15  for ruh delivery.

Equation:     5x +  2.50·5  +  15.00  =  352.50

                   5x  +  12.50  +  15.00  =  352.50

                                  5x  +  27.50  =  352.50

                                                 5x  =  325.00

                                                   x  =  $65.00  

 Oct 6, 2014
 #2
avatar+109 
+10

Let x = price per ticket

 

price w/o delvery cost

352.5 - 15 = 337.5

 

price per ticket with surcharge

337.5 = 2.5(5x)

337.5 = 12.5x

$27/ticket = x

 

then, all you do to get the cost without the surcharge is subtract the cost of the surcharge from the cost of one ticket:

27 - 2.5 = 24.5

 

therefore your final answer is: $24.50 per ticket without any surcharge.

 Oct 6, 2014
 #3
avatar+118587 
+10
Best Answer

Sorry isi, this bit is incorrect

337.5 = 2.5(5x)

it should  be 

337.5=5(x+2.5)

 

$${\mathtt{337.5}} = {\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2.5}}\right) \Rightarrow {\mathtt{x}} = {\mathtt{65}}$$

the tickets are $65 each just like Geno3141 said.

I'll give you points for your good effort.   

Melody Oct 7, 2014

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