Math Problem Statement

A school has 220 working days. Ravis attendance is 85%. How many days did he remain absent?

Solution

To find how many days Ravi remained absent, we need to calculate 85% of the total 220 working days to determine how many days he attended and then subtract that from the total days.

  1. Step 1: Calculate the number of days Ravi attended. 85% of 220=85100×220=187 days85\% \text{ of } 220 = \frac{85}{100} \times 220 = 187 \text{ days}

  2. Step 2: Subtract the days attended from the total days to find the days he was absent. 220187=33 days220 - 187 = 33 \text{ days}

Therefore, Ravi remained absent for 33 days.

Would you like more details on this?

Here are five related questions to expand on this concept:

  1. If Ravi's attendance was 90%, how many days would he be absent?
  2. How many days would Ravi have attended if the school had 250 working days and his attendance was still 85%?
  3. What is the minimum attendance percentage required for Ravi to have attended at least 200 days?
  4. If another student had 75% attendance, how many days were they absent in a 220-day school year?
  5. How would the calculation change if the school had only 180 working days?

Tip: When working with percentages, multiplying the total amount by the percentage (in decimal form) gives the desired portion directly.

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Math Problem Analysis

Mathematical Concepts

Percentage
Subtraction

Formulas

Percentage of total = (percentage / 100) * total
Days absent = Total days - Days attended

Theorems

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Suitable Grade Level

Grades 5-7