Jillian’s school is selling tickets for a play. the tickets cost $10.50 for adults and $3.75 for students. the ticket sales for opening night totaled $2071.50. the equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. if 82 students attended, how may adult tickets were sold?

The correct answer would be , a = 168 tickets were sold

Step-by-step explanation:

Cost of adults ticket   = $10.5

Cost of Students Ticket = %3.75  

Sales Totals for opening night = $2071.5

Equation would be  

10.5a + 3.75b = 2071.5

If 82 students attended the the play at that night, it means the value of b would be 82. Thus substituting the value in the above equation, we can find the value of a, which means how many adult tickets were sold.  

10.5a + 3.75(82) = 2071.5

10.5a + 307.5 = 2071.5

10.5a = 2071.5-307.5

10.5a = 1764

a= 168 tickets were sold.

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step-by-step explanation: