Answer:
The system is of equations is:
Where g is the amount of general tickets and r is the amount of reserve tickets.
35 general tickets and 25 reserve tickets were sold.
Step-by-step explanation:
Let general tickets be represented by g and reserved tickets be represented by r.
Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:
And a total of 60 tickets were sold. Hence:
Our system of equations is:
We can solve by substitution. First, divide both sides of the first equation by 5:
Next, we can subtract a variable (r in this case) from the second equation:
Substitute:
Distribute:
Simplify:
Subtract:
Using the previous equation:
Substitute and evaluate:
So, 35 general tickets and 25 reserve tickets were sold.