Math Problem Statement
In an exam 65% children passed in maths and 48% passed in physics and 30% passed in both subjects how many failed in both subjects
Solution
Let's solve the problem step by step.
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Let the total number of children be .
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Percentage of children who passed in Mathematics (Maths):
of
So, the number of children who passed in Maths is . -
Percentage of children who passed in Physics:
of
So, the number of children who passed in Physics is . -
Percentage of children who passed in both subjects:
of
So, the number of children who passed in both subjects is . -
To find the percentage of children who passed in at least one subject:
- The formula to find this is:
- Substituting the given values: So, of the children passed in at least one subject.
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Percentage of children who failed in both subjects:
- If passed in at least one subject, then the remaining must have failed in both subjects.
Therefore, 17% of the children failed in both subjects.
Would you like a detailed explanation or have any further questions?
Here are some related questions:
- What is the probability that a randomly selected child passed in both subjects?
- If 200 students took the exam, how many passed in only one subject?
- How many students passed only in Maths?
- How many students passed only in Physics?
- If a child passed in Maths, what is the probability that they also passed in Physics?
Tip: When dealing with percentages and overlapping sets, using Venn diagrams can help visualize and solve the problem effectively.
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Math Problem Analysis
Mathematical Concepts
Percentages
Sets
Probability
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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