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A jazz concert brought in $155,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each,...

A jazz concert brought in $155,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is [ ]
The number of $25 tickets is [ ]

Answer

Let x be the number of $15 tickets and y be the number of $25 tickets.

  1. Equation 1: x + y = 7500
  2. Equation 2: 15x + 25y = 155500

Solving these equations:

  1. From Equation 1: y = 7500 - x
  2. Substitute into Equation 2: 15x + 25(7500 - x) = 155500
  3. 15x + 187500 - 25x = 155500
  4. -10x = -32000
  5. x = 3200
  6. y = 7500 - 3200 = 4300

The number of $15 tickets is 3200.

The number of $25 tickets is 4300.

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