The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled 34,599. The adult admission is $8.50 and the children's admission is $5.50. How many adult patrons were there?

Adults 2183

Children 2917

Step-by-step explanation:

Let adult tickets be x and children's ticket be y

Using the total sold tickets then

X+y=5100

Making x the subject tjen X=5100-y

Using the amount collected then

8.5x + 5.5y=34599

8.5 (5100-y) + 5.5y=34599

43350-8.5y+5.5y=34599

3y=8751

y=2917

X=5100-y=5100-2917=2183

x=2183

Therefore, adults were 2183 and children 2917