The Glee Club sold a total of 60 tickets to their
spring concert. Student tickets (s) cost $5.00 each
and adult tickets (a) cost $8.00 each. If they had
$1,020 in ticket sales, write a system of linear
equations to determine how many adult tickets
they sold.
Let's denote the number of adult tickets sold as 'a' and the number of student tickets sold as 's'.
According to the given information, the total number of tickets sold is 60. So, we have the first equation:
a + s = 60
We are also given that the total sales from the tickets amount to $1,020. Since adult tickets cost $8 and student tickets cost $5, we can write the second equation:
8a + 5s = 1020
Therefore, the system of linear equations is:
a + s = 60
8a + 5s = 1020
5 s + 8 a = 1020
s + a = 60
so s = (60-a)
and
5 (60-a) + 8 a = 1020
300 - 5 a + 8 a = 1020
3 a = 720
a = 240
.................../\.........
................./__\......
............༼ ◕_◕ ༽ <Hi
...........| U I
...........\_________/
.............\_______/
...............\_____/
..............(___|__)