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Adult and student tickets were sold for the school play. The total receipts were $2005. The number of student tickets sold was equal to three times the number of adult tickets sold decreased by 56. If student tickets cost $3.50 and adult tickets cost $5.00, how many adult tickets were sold?

 Feb 27, 2020
 #1
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Let  the adult tickets sold   =  A

 

The student tickets sold  =  3A - 56

 

So

 

number  of adult tickets sold * cost each  + student tickets sold 8 cost  =  revenue

 

So

 

A * 5 +  ( 3A - 56) * 3.50  = 2005     simplify

 

5A  + 10.50A - 196  =  2005

 

15.50A - 196  =2005    add 196  to both sides

 

15.50A  = 2201      divide both sides  by 15.50

 

A  =  142  = adult tickets sold

 

 

cool cool cool

 Feb 27, 2020

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