Question

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.

Answer 1

314

Step-by-step 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

Answer 2

314

Step-by-step 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