Question

A jazz concert brought in ​$127000 on the sale of 7900 tickets. If the tickets sold for $10 and $20 ​each, how many of each type of ticket were​ sold?

Answer 1

5,500 tickets for $10 each, 2,400 tickets for $20 each.

Explanation:

We can solve this system of equations to find the values of (x) and (y)

(10x + 10y = 79000).

subtract this equation from the second equation:

(10y = 127000 - 79000 = 48000).

(y = 48000 / 20 = 2400).

Substitute (y = 2400) into the first equation:

(x + 2400 = 7900),

which gives (x = 7900 - 2400 = 5500).

5500 tickets were sold for $10 each, and 2400 tickets were sold for $20 each.