Math Problem Statement

On Monday, 34% of the children who usually attend the nursery were absent. 29 children attended the nursery on Monday. How many children would usually be at the nursery on Monday?

Solution

The question asks:

"On Monday, 34% of the children who usually attend the nursery were absent. 29 children attended the nursery on Monday. How many children would usually be at the nursery on Monday?"


Step-by-Step Solution:

  1. Define Variables:

    • Let xx be the total number of children who usually attend the nursery on Monday.
    • 34%34\% of the total children were absent.
    • This means 66%66\% (or 0.660.66) of the total children attended the nursery.
  2. Set Up the Equation: Since 66%66\% of the total children attended the nursery and the number of attending children is given as 29: 0.66x=290.66x = 29

  3. Solve for xx: Divide both sides of the equation by 0.660.66: x=290.66x = \frac{29}{0.66} x=43.94x = 43.94

  4. Interpret the Result: Since the number of children must be a whole number, round 43.9443.94 to the nearest whole number: x=44x = 44


Final Answer:

The total number of children who usually attend the nursery on Monday is 44.

Would you like a detailed explanation for each step or additional examples?


5 Related Questions:

  1. If 25% of children were absent instead of 34%, and 29 attended, how many usually attend the nursery?
  2. If the nursery has 50 children, how many would attend if 20% were absent?
  3. How do you calculate percentages when given attendance numbers?
  4. If 34% of students were absent and 44 children usually attend, how many were absent?
  5. If 29 children attended and 10 more joined later in the day, what percentage of total children is that?

Tip:

When working with percentages, always double-check whether you're calculating the part (e.g., attended) or the whole (e.g., total number of children).

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportions
Basic Algebra

Formulas

Percentage formula: Part = Percentage × Total
Algebraic equation solving

Theorems

Basic percentage calculations

Suitable Grade Level

Grades 5-7