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.

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