Question

A jazz concert brought in$113,000 on the sale of 7,200 tickets. If the tickets sold for $10 and $20 each, how many of each type of ticket were sold?

Answer 1

We'll make $10 x and the $20 y.

x + y = 7,200

10x + 20y = 113000

10x + 10y = 72000

10x + 20y = 113000

10y = 41,000

y = 4,100

Substitute y = 4,100

x + y = 7,200

x + 4,100 = 7,200

x = 7,200 - 4,100

x = 3,100



3,100 x $10 tickets
4,100 x $20 tickets