To find out how much the check was written for, we can set up the equation based on your initial balance, the deposit, and the new balance.
- Start with your initial balance: $500
- You deposit $300, which increases your balance to $800 ($500 + $300).
- After the check is processed, your new balance is $750.
To find the amount of the check (let's call it X), we can set up the equation: $$ 800 - X = 750. $$
Now, solve for X:
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Subtract 750 from both sides: $$ 800 - 750 = X, $$
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This simplifies to: $$ X = 50. $$
Therefore, the check was written for $50.