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?

Question

Jamiya Duke

Mathematics

15 March, 15:36

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?

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Alfie · 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