Willard Company established a $$490$ petty cash fund on September $9,2023.$ On September $30,$ the fund had $$195\mathrm{.}40$ in cash along with receipts for these expenditures: transportation $-$in$,$ $$39\mathrm{.}70$; office supplies, $$138\mathrm{.}90$; and repairs expense, $$109.$ Willard uses the perpetual method to account for merchandise inventory. The petty cashier could not account for the $$7\mathrm{.}00$ shortage in the fund.

a$)$ Prepare the September $9$ entry to establish the fund.

$\backslash$table$[[$Date$,$General Journal,Debit,Credit$],[sep9,23,$Petty Cash,$490,],[,$Cash,,$490]]$

b$)$ Prepare a summary of the petty cash payments and record the entry on September $30$ to reimburse the fund and reduce it to $$340.($Round your answers to $2$ deamal places.$)$m