At the end of October, Mr. Thomas had a balance of $\$ 367.38$ in his checking account. Since then, he has written two checks for $\$ 136.94$ and $\$ 14.75$ and made a deposit of $\$ 185.00$. What is the balance in the checking account now?
a. $\$ 30.69$
b. $\$ 334.07$
c. $\$ 400.69$

Step 1 ：Understand the problem. Mr. Thomas had a certain amount in his account, he then wrote two checks which means he subtracted money from his account. He also made a deposit which means he added money to his account. We need to find out how much he has left in his account now.

Step 2 ：Start with the initial amount in the account which is \(367.38\).

Step 3 ：Subtract the amounts of the two checks from the initial amount. This is done by adding the amounts of the two checks together and then subtracting the total from the initial amount. \(136.94 + 14.75 = 151.69\) (This is the total amount of the checks) \(367.38 - 151.69 = 215.69\) (This is the amount left in the account after the checks are written)

Step 4 ：Add the deposit to the amount left in the account after the checks are written. \(215.69 + 185.00 = 400.69\)

Step 5 ：The final balance in the checking account is \(\boxed{400.69}\).

Step 6 ：Check the result. The initial amount was \(367.38\). Two checks totaling \(151.69\) were written which should leave \(215.69\). A deposit of \(185.00\) was made which should increase the balance to \(400.69\). The result meets the requirements of the problem.