Kristen - Thanks for your question. The Accounting button and Balance are tied together. You can turn it off so noboday can see either the Accounting button (Ledger) or the Balance. Otherwise you can allow only the Primary Payer on the account (the 1st person listed) to see them, or All Payers on the account. Typically the payers are mom & dad. Other pick up people (who are not payers) would never have access to the Accounting button or Balance.
You can choose to display the Accounting button (Ledger) and turn off the Balance, but you can't do it the other way around - in other words you can't display the Balance without the Accounting button.