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
[tex]5(3t+2)[/tex]
The expression for (2t+5) tickets sold for $7 is given by
[tex]7(2t+5)[/tex]
The expression for the total number of tickets sold is given by
[tex]5(3t+2)+7(2t+5)[/tex]
Thus, the expression that represents the total number of tickets sold is [tex]5(3t+2)+7(2t+5)[/tex]
Simplified expression:
We need to simplify the expression [tex]5(3t+2)+7(2t+5)[/tex]
Hence, let us multiply the terms within the bracket.
Thus, we get;
[tex]15t+10+14t+35[/tex]
Adding the like terms, we have,
[tex]29t+45[/tex]
Thus, the simplified expression is [tex]29t+45[/tex]
