Alocal movie theater charges $9.00 for each adult ticket and $6.50 for each child ticket to attend a matinee movie. if the theater sold 200 tickets for a total of $1557.50, how many adult tickets were sold?

  The theater charges $9.00 for adults per ticket and $6.50 per child. If the theater sold 200 tickets and the total was $1557.50, how many adult tickets were sold? Well, this question is only asking for how many adult tickets were sold so we now know that we are going to have to divide 1557.50 by 9.00. If the answer is not 200 then we know that some children tickets were sold and we are going to have to do some extra stuff to figure out the answer, below is how I figured out the answer.

1557.5/9.00 = 173.055556

173.055556 is lower than 200, that means some child tickets were sold too, but now we know that 173.055556(or rounded to the nearest ones place 174), adult tickets were sold, to find how many child tickets were we do:

Child tickets = c

200 - 174 = c
                = 26
                = 26 is the number of child tickets sold!

Adult tickets sold:174

Child tickets sold: 16

I hope this helped! Have a splendid day!