Bobs pay increased by 5% to $315 so what was his original pay?

To find Bob's original pay before the 5% increase, we can set up the equation as follows:

Let $ x $ represent Bob's original pay. After the 5% increase, his new pay is $315. This means his original pay plus 5% of his original pay equals $315:

\[
x + 0.05x = 315
\]

This simplifies to:

\[
1.05x = 315
\]

Now, solve for $ x $:

\[
x = \frac{315}{1.05}
\]

\[
x = 300
\]

So, Bob's original pay was **$300**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. What would Bob's pay be if his pay increased by 10% instead of 5%?
2. If Bob's pay decreased by 5%, what would his new pay be?
3. How much did Bob's pay increase in actual dollars?
4. If Bob's pay increased to $400 after a 5% raise, what was his original pay?
5. What would Bob's original pay be if the final amount was $315 after a 7% increase?

**Tip**: When solving percentage problems, it's often easier to convert percentages to decimals (e.g., 5% = 0.05) for use in equations.

Bob's pay increased by 5% to $315, so what was his original pay?

Learn how to calculate Bob's original pay before a 5% increase led to a final amount of $315. This algebra problem involves percentage calculations and is ideal for students in Grades 6-8.

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