Which of the Following Are Possible Amounts for the Third Check and the Cash That Cindy Deposited?

Cindy went to the bank to deposit three checks and some cash. The checks were for $35, $50, and an unknown amount. She also deposited an unknown amount of cash. The bank teller informed Cindy that the total amount deposited was $300. Now the question arises: what are the possible amounts for the third check and the cash Cindy deposited?

Let’s start by assigning variables to the unknown amounts. Let “x” represent the amount of the third check and “y” represent the amount of cash Cindy deposited. We know that the sum of the three checks and the cash is $300.

Therefore, we can write the equation: $35 + $50 + x + y = $300.

To solve for x and y, we need an additional equation. Unfortunately, we don’t have any more information about the amounts. Hence, there are multiple possible combinations of x and y that satisfy the equation.

Here are a few examples:

1. If the third check (x) is $100, then the cash (y) would be $115.

2. If the third check (x) is $70, then the cash (y) would be $145.

3. If the third check (x) is $120, then the cash (y) would be $95.

These are just a few possibilities, and there are many more combinations that could work.

Now let’s dive into some frequently asked questions related to this scenario:

1. Can the third check be negative?

No, checks cannot have negative amounts. Therefore, the third check must be greater than or equal to zero.

2. Can the cash amount be negative?

No, cash cannot have a negative value. So, the cash amount deposited by Cindy will be greater than or equal to zero.

3. Can the third check or cash amount be zero?

Yes, it is possible for the third check or cash amount to be zero. In such a case, the equation would simplify accordingly.

4. Is there a limit to the amount of cash Cindy can deposit?

There is no specific limit mentioned in the given information. Hence, Cindy can deposit any amount of cash.

5. Can the third check and cash amounts be the same?

Yes, it is possible for the third check and cash amounts to be the same, resulting in a balanced equation.

6. Are there any restrictions on the value of the third check?

No, as long as the third check is a positive value or zero, it can be any amount.

7. Can Cindy deposit more than three checks?

The given information only mentions three checks. We don’t have any information about additional checks, so it is not considered in this scenario.

8. Can the total amount of checks and cash deposited be greater than $300?

No, the information clearly states that the total amount deposited is $300. Therefore, the sum of the three checks and the cash cannot exceed $300.

In conclusion, there are multiple possible combinations for the third check and cash amounts that would result in a total deposit of $300. The specific values depend on the unknown amounts, and we have explored some examples above.