The city Music Hall charges $22.00 per adult and $10.00 per senior citizen. One day 461 people attended a concert. The total receipts this day were $6434.00. How many adults attended the concert? Your answer should be a number only.

Respuesta :

Let "a" represent the number of adults attending. Then (461-a) is the number of senior citizens. Total receipts will be ...
  a*22 + (461-a)*10 = 6434
  12a = 6434-461*10
  a = 1824/12 = 152

The number of adults that attended the concert was ...
  152