? The number of girls in a class is 3 times the number of boys which o...
The answer is 42.
Let number of boys = x and number of boys = 3x.
Then, 3x + x = 4x = total number of students.
Thus, to find exact value of x, the total number of students must be divisible by 4.
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? The number of girls in a class is 3 times the number of boys which o...
The problem:
The number of girls in a class is 3 times the number of boys. We need to determine which of the following options cannot be the total number of students in the class.
Given information:
- The number of girls is 3 times the number of boys.
Solution:
To solve this problem, we can use a systematic approach to determine the total number of students in the class using each option and check if it satisfies the given condition. Let's analyze each option one by one.
A) Option 24:
- Let's assume the number of boys is x.
- According to the given information, the number of girls is 3 times the number of boys, which is 3x.
- The total number of students in the class would be x (boys) + 3x (girls) = 4x.
- For the total number of students to be 24, 4x = 24.
- Solving this equation gives us x = 6.
- Therefore, the number of boys is 6, and the number of girls is 3 times that, which is 18.
- The total number of students in the class is 6 (boys) + 18 (girls) = 24.
- Option A) satisfies the given condition.
B) Option 32:
- Let's assume the number of boys is x.
- According to the given information, the number of girls is 3 times the number of boys, which is 3x.
- The total number of students in the class would be x (boys) + 3x (girls) = 4x.
- For the total number of students to be 32, 4x = 32.
- Solving this equation gives us x = 8.
- Therefore, the number of boys is 8, and the number of girls is 3 times that, which is 24.
- The total number of students in the class is 8 (boys) + 24 (girls) = 32.
- Option B) satisfies the given condition.
C) Option 36:
- Let's assume the number of boys is x.
- According to the given information, the number of girls is 3 times the number of boys, which is 3x.
- The total number of students in the class would be x (boys) + 3x (girls) = 4x.
- For the total number of students to be 36, 4x = 36.
- Solving this equation gives us x = 9.
- Therefore, the number of boys is 9, and the number of girls is 3 times that, which is 27.
- The total number of students in the class is 9 (boys) + 27 (girls) = 36.
- Option C) satisfies the given condition.
D) Option 41:
- Let's assume the number of boys is x.
- According to the given information, the number of girls is 3 times the number of boys, which is 3x.
- The total number of students in the class would be x (boys) + 3x (girls) = 4x.
- For the total number of students to be 41, 4x = 41.
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? The number of girls in a class is 3 times the number of boys which o...
41
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