Question

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 10.50 a plus 3.75 b equals 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? Answer: 168 adult tickets

Answer 1

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Answer 2

Explanation:

10.5a + 3.75b = 2071.50

b = 82 students

Substitute 'b' value in the equation

10.5a + 3.75 * 82 = 2071.50

10.5a + 307.5 = 2071.50

10.5a = 2071.50 - 307.5

10.5a = 1764

Divide both sides by 10.5

a = 1764/10.5

a =17640/105

a= 168

168 adult tickets were sold