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Anjali’s school is selling tickets to the annual dance competition

 

on the first day of ticket sales the school sold 6 adult tickets and 8 student tickets for a total of $130

 

the school took in $90 on the second day by selling 2 adult tickets and 12 student tickets

 

find the price of an adult ticket and the price of a student ticket

 Jan 16, 2020
 #1
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Let   A be the price of an adult ticket  (in dollars)

Let S  be the price of a student's ticket  (in dollars)

 

We have this system

 

6A + 8S  =   130

2A + 12S   = 90   multiply this equation through by  - 3

 

6A  + 8S  = 130

-6A - 36S  = - 270         add these

 

-28S  = -140      divide both sides by -28

S  =  5

 

And  using   2A + 12S  = 90

 

2A   + 12 (5)  = 90

 

2A + 60  = 90     subtract 60 from both sides

 

2A  =30      divide both sides  by 2

 

A  =15

 

 

cool cool cool

 Jan 16, 2020

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