Points to Remember:
- This is a mathematical word problem requiring a step-by-step solution.
- The problem involves fractions and calculating a portion of a whole.
- The final answer will be a whole number representing the number of girls who do not play cricket.
Introduction:
This question is a mathematical word problem involving fractions. It tests the ability to understand and apply fractional calculations to a real-world scenario. The problem provides the total number of students in a school (350) and the proportion of girls and the proportion of girls who play cricket. The goal is to determine the number of girls who do not play cricket.
Body:
1. Determining the Number of Girls:
The problem states that 3/7 of the 350 students are girls. To find the number of girls, we calculate:
(3/7) * 350 = 150 girls
2. Determining the Number of Girls Who Play Cricket:
Of these 150 girls, 2/5 play cricket. The number of girls who play cricket is:
(2/5) * 150 = 60 girls
3. Determining the Number of Girls Who Do Not Play Cricket:
To find the number of girls who do not play cricket, we subtract the number of girls who play cricket from the total number of girls:
150 girls (total) – 60 girls (play cricket) = 90 girls
Therefore, 90 girls do not play cricket.
Conclusion:
In summary, by first calculating the total number of girls (150) and then the number of girls who play cricket (60), we determined that 90 girls in the school do not play cricket. This problem highlights the importance of understanding and applying fractional calculations to solve real-world problems. This simple example demonstrates the practical application of mathematics in everyday scenarios. Further development of mathematical skills is crucial for students to succeed in various academic and professional fields, fostering a holistic approach to education and empowering them to contribute effectively to society.