You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression that represents the total number of tickets sold so far. Then simplify the expression.

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.

Total number of tickets sold:

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

Simplified expression:

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