SOLUTION: A total of 691 tickets were sold for the school play. There were 59 fewer student tickets sold than adult tickets. How many adult tickets were sold?

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Question 37914: A total of 691 tickets were sold for the school play. There were 59 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Found 2 solutions by checkley71, Alwayscheerful:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
X+(X-59)=691 OR 2X=691+59 OR 2X=750 OR X=750/3 OR X=375 ADULT TICKETS &
375-59=316 OR 316+375=691

Answer by Alwayscheerful(414) (Show Source):
You can put this solution on YOUR website!
Let's assign variables to the different groups so we can later solve this system with either substitution or elimination.
Student tickets = s
adult tickets = a
So, translate the english into math.
Since a total of 691 tickets were sold, we can derive the equation:

Then, there were 59 fewer students sold, that means more adult tickets were sold.

Now put these in a system of equations and solve.

For this system, I would suggest substitution because there is already an isolated variable.

We now know that adult tickets were sold.

student tickets were sold.
Hope this helps!