During one performance of a local arts council's presentation of fiddler on the roof, the box office sold 205 tickets and collected $1003. if adult tickets sold for $7 and children's tickets sold for $3, how many of each type of ticket were sold? i'm confused on how to solve for the

To answer this question, you will set up an equation to represent the total number of tickets sold.  See the attached picture (#1).

You can rewrite this equation as what c = .

Now you have how many children tickets were sold in terms of adult tickets.

You will then write an equation, using only the variable a to find how many adult tickets were sold.  See attached picture (#2).

Solve to find the number of adult tickets and then use it find the number of children's tickets sold.  See attached picture (#3).

Then substitute your answers back into the equation to check your work.  (#4 on attached picture).

First subtract 10 from both side
y^2+6y-16=0
(y+8)(y-2)=0
-8 and 2