Math Problem Statement

. Sumit attended his school on 204 days in a full year. If his attendence is 85%, find the number of working days.

Solution

To find the total number of working days in the year, we need to set up the relationship based on Sumit's attendance rate.

Sumit attended school for 204 days, which corresponds to 85% of the total working days. We can represent the total number of working days as WW.

Given: Attendance rate=85%=85100\text{Attendance rate} = 85\% = \frac{85}{100} Days attended=204\text{Days attended} = 204

The relationship can be written as: 85100×W=204\frac{85}{100} \times W = 204

To find WW, we need to solve for it: W=204×10085W = \frac{204 \times 100}{85}

Now, let's calculate it: W=204×10085W = \frac{204 \times 100}{85} W=2040085W = \frac{20400}{85} W=240W = 240

Therefore, the total number of working days in the year is 240.

Do you want more details or have any questions?

Here are 5 more questions you might want to ask:

  1. How do you calculate percentages in general?
  2. What is the formula to find the percentage of a given number?
  3. How can you check if your percentage calculation is correct?
  4. Can you provide examples of percentage problems in real life?
  5. How do you convert a percentage into a decimal?

Tip: When working with percentages, always convert the percentage to a decimal by dividing by 100 before performing calculations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percentage
Equations

Formulas

Percentage calculation formula

Theorems

-

Suitable Grade Level

Grades 6-8