Given that the number of tickets that are sold for $5 is (3t+2) tickets.
The number of tickets that are sold for $7 is (2t+5) tickets.
We need to determine the expression that represents the total number of tickets sold and the simplified expression.
<u>Total number of tickets sold:</u>
The expression for (3t+2) tickets sold for $5 is given by

The expression for (2t+5) tickets sold for $7 is given by

The expression for the total number of tickets sold is given by

Thus, the expression that represents the total number of tickets sold is 
<u>Simplified expression:</u>
We need to simplify the expression 
Hence, let us multiply the terms within the bracket.
Thus, we get;

Adding the like terms, we have,

Thus, the simplified expression is 