Math Problem Statement
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:
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Define Variables:
- Let be the total number of children who usually attend the nursery on Monday.
- of the total children were absent.
- This means (or ) of the total children attended the nursery.
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Set Up the Equation: Since of the total children attended the nursery and the number of attending children is given as 29:
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Solve for : Divide both sides of the equation by :
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Interpret the Result: Since the number of children must be a whole number, round to the nearest whole number:
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:
- If 25% of children were absent instead of 34%, and 29 attended, how many usually attend the nursery?
- If the nursery has 50 children, how many would attend if 20% were absent?
- How do you calculate percentages when given attendance numbers?
- If 34% of students were absent and 44 children usually attend, how many were absent?
- 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