Math Problem Statement
Bobs pay increased by 5% to $315 so what was his original pay?
Solution
To find Bob's original pay before the 5% increase, we can set up the equation as follows:
Let 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:
This simplifies to:
Now, solve for :
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:
- What would Bob's pay be if his pay increased by 10% instead of 5%?
- If Bob's pay decreased by 5%, what would his new pay be?
- How much did Bob's pay increase in actual dollars?
- If Bob's pay increased to $400 after a 5% raise, what was his original pay?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentages
Formulas
New Pay = Original Pay + (Percentage Increase * Original Pay)
Original Pay = New Pay / (1 + Percentage Increase)
Theorems
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Suitable Grade Level
Grades 6-8
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