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
![5(3t+2)](https://tex.z-dn.net/?f=5%283t%2B2%29)
The expression for (2t+5) tickets sold for $7 is given by
![7(2t+5)](https://tex.z-dn.net/?f=7%282t%2B5%29)
The expression for the total number of tickets sold is given by
![5(3t+2)+7(2t+5)](https://tex.z-dn.net/?f=5%283t%2B2%29%2B7%282t%2B5%29)
Thus, the expression that represents the total number of tickets sold is ![5(3t+2)+7(2t+5)](https://tex.z-dn.net/?f=5%283t%2B2%29%2B7%282t%2B5%29)
<u>Simplified expression:</u>
We need to simplify the expression ![5(3t+2)+7(2t+5)](https://tex.z-dn.net/?f=5%283t%2B2%29%2B7%282t%2B5%29)
Hence, let us multiply the terms within the bracket.
Thus, we get;
![15t+10+14t+35](https://tex.z-dn.net/?f=15t%2B10%2B14t%2B35)
Adding the like terms, we have,
![29t+45](https://tex.z-dn.net/?f=29t%2B45)
Thus, the simplified expression is ![29t+45](https://tex.z-dn.net/?f=29t%2B45)