Question

consider the following incomplete deposit ticket: deposit ticket cash including coins 2-12/540 liz oot 7 8 2 . 1 1 1998 hyr ave. 5 6 4 . 6 4 ule, nb date november 23, 20~~ sub total 1 3 4 6 . 7 5 deposits may not be available for immediate withdrawal less cash received xxx.xx liz oot sign here for cash received (if required) $ 8 8 8 . 1 8 mq bank 064308520 765 1234 how much cash did liz receive?

Explanation:

Step1: Recall the deposit ticket formula

The formula for a deposit ticket is: \(\text{Subtotal} + \text{Cash Received} = \text{Total}\). So, we can rearrange this to find \(\text{Cash Received}=\text{Total}-\text{Subtotal}\).

Step2: Identify the values

From the deposit ticket, the subtotal is \(1346.75\) and the total is \(1888.18\) (wait, no, wait: Wait, the total shown is \(888.18\)? Wait, no, looking at the ticket, the total (the last amount) is \( \$888.18\)? Wait, no, the subtotal is \(1346.75\), and the total after adding cash received is... Wait, maybe I misread. Wait, the formula is: Subtotal (sum of checks and cash) plus cash received? No, actually, the deposit ticket works as: The subtotal is the sum of the checks (and any cash being deposited), then if you receive cash back, the total deposit (the amount going into the account) is subtotal - cash received. Wait, let's check the numbers.

Wait, the subtotal is \(1346.75\), the total (the amount at the bottom) is \(888.18\). Wait, no, that can't be. Wait, maybe the formula is: Subtotal (sum of checks) + Cash (deposited) - Cash Received = Total (deposited). Wait, no, let's look at the numbers. The two checks are \(782.11\) and \(564.64\). Let's sum those: \(782.11 + 564.64 = 1346.75\), which is the subtotal. Then, the total (the amount that is the net deposit) is \(888.18\). So, the formula is: Subtotal - Cash Received = Total (deposited). So, \(1346.75 - \text{Cash Received} = 888.18\). Then, solving for Cash Received: \(\text{Cash Received} = 1346.75 - 888.18\).

Step3: Calculate the difference

Calculate \(1346.75 - 888.18\). Let's do the subtraction:

\(1346.75 - 888.18 = 458.57\). Wait, let's check: \(888.18 + 458.57 = 1346.75\), which matches the subtotal. So that makes sense.

Wait, but let's confirm the numbers again. The subtotal is \(1346.75\) (sum of the two checks: \(782.11 + 564.64 = 1346.75\)). The total (the amount deposited into the account) is \(888.18\). So, the cash received is the subtotal minus the total deposited: \(1346.75 - 888.18 = 458.57\).

Answer:

\(458.57\)