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21 June, 15:20

A total of 431 tickets were sold to a concert, bringing in a total of $5,332. Two types of tickets were sold: adult tickets were sold for $14 each and student tickets were sold for $8 each. How many adult tickets were sold? Type in your numerical answer only; do not type any words or letters with your answer.

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Answers (2)
  1. 21 June, 15:33
    0
    314

    Explanation:

    Let A be the adult tickets sold.

    then number of student tickets will be 431-A

    Adult ticket cost = 14*A dollars

    Student ticket cost = (431-A) * 8

    Total Ticket cost = 14*A + (431-A) * 8

    Total tickets are equal to 5332 dollars

    14*A + (431-A) * 8 = 5332

    14A + 3448 - 8A = 5332

    6A = 5332-3448

    A = 1884 / 6

    A = 314 adult tickets
  2. 21 June, 15:42
    0
    314

    Explanation:

    A+S = 431

    14A+8S = 5332

    A=431-S

    14 (431-S) + 8S=5332

    6034-14S+8S=5332

    6034-5332=14S-8S

    702=6S

    S=702/6 = 117

    A=431-117

    A=314
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