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How to Solve Common Math Problems: Step-by-Step Guide

Hello everyone! Today, I'll be walking you through five common math problems, providing you with step-by-step solutions to help you understand and solve them with ease.

Question 1: Calculating the Discount Percentage

To find the discount percentage, follow these steps:

  1. Identify the Discount and Marked Price: Let's say the discount is $30 and the marked price is $150.
  2. Divide the Discount by the Marked Price: $30$150=0.2
  3. Multiply by 100%: 0.2×100%=20%0.2 \times 100\% = 20\%

So, the discount percentage is 20%.

Question 2: Finding the Sale Price

To determine the sale price after the discount:

  1. Identify the Marked Price and Discount: Marked price is $150, and the discount is $30.
  2. Subtract the Discount from the Marked Price: $150−$30=$120

Thus, the sale price is $120.

Question 3: Adjusting for Percentage Decrease

To calculate the new price after a percentage decrease:

  1. Identify the Original Price and Percentage Decrease: Let's say the original price is $200 and the decrease is 15%.
  2. Calculate the Multiplier: 1−15100=0.85
  3. Multiply by the Original Price: 0.85×$200=$1700.85 \times \$200 = \$170

The new price after a 15% decrease is $170.

Question 4: Determining the Number Absent

To find the number of absentees based on a given percentage:

  1. Identify the Total Number and the Absentee Percentage: Suppose there are 200 students, and 10% are absent.
  2. Convert the Percentage to Decimal: 10100=0.1
  3. Multiply by the Total Number: 0.1×200=200.1 \times 200 = 20

So, the number of students absent is 20.

Question 5: Solving an Algebraic Equation

To solve for WW in the equation 78400=W+0.75W78400 = W + 0.75W

  1. Combine Like Terms: 78400=1.75W78400 = 1.75W
  2. Solve for WW: W=784001.75=44800W = \frac{78400}{1.75} = 44800

Therefore, WW equals 44800.

Conclusion

These steps provide a clear method for solving these types of questions. By following these instructions, you can tackle similar problems with confidence. Remember, practice makes perfect, so keep working on these techniques to improve your math skills!

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