A jazz concert brought in 212000 on the sale of 8 200 ticket

A jazz concert brought in $212,000 on the sale of 8, 200 tickets. If the tickets sold for $20 and $30 each, how many of each type of ticket were sold? The number of $20 tickets is The number of $30 tickets is

Solution

x no. of $20 tickets and y no. of $30 tickets

then x+y=8200 => y=8200-x

20x + 30y = 212000

20x + 30(8200-x) = 212000

246000 -10x = 212000

10x = 34000

x = 3400

y = 8200-x = 8200-3400 = 4800

3400 $20 tickets

4800 $30 tickets