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The table shows the prices of the tickets for a charity performance 

     Type of ticket     Price per ticket

           Adult             $20

           Child              $8

1/4 of the tickets sold were adults tickets. The total amount of money collected from the sale of child tickets was $216 more than the total amount collected from the sale of adult tickets. How much money was collected from the sale of the tickets altogether?

 

Let x be the total sold.....so  (1/4)x =  the adult's sold  and (3/4)x = the children's sold

 

So

 

Number of adult's sold * price per ticket + 216 =  Number of chidren's sold * price per ticket

 

(1/4)x * 20 + 216 =  (3/4)x * 8      simplify

 

5x + 216 = 6x

 

216 =  6x - 5x

 

216  =  x 

 

Total money collected =  (1/4) (216)*20  + (3/4)(216)* 8  =  

 

5(216)  + 6(216)  =  

 

11 (216)  =

 

$2376

 

 

cool cool cool

 Jul 16, 2022

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