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40% of the students in a school are girls. If the number of boys is 1680, then what is the total number of students?
- a)2500
- b)2600
- c)2700
- d)2800
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
40% of the students in a school are girls. If the number of boys is 1...
% of boys = 100 – 40 = 60%
View all questions of this test
60% of x = 1680
x = (1680 × 100)/60
x = 2800
Most Upvoted Answer
40% of the students in a school are girls. If the number of boys is 1...
To solve this problem, we need to find the total number of students in the school given that 40% of them are girls and the number of boys is 1680.
Let's assume the total number of students in the school is x.
- Given that 40% of the students are girls, we can calculate the number of girls as 40% of x, which is (40/100)x = 0.4x.
- We are also given that the number of boys is 1680.
- Since the total number of students in the school is the sum of the number of girls and boys, we can write the equation as:
x = 0.4x + 1680.
Now, let's solve this equation to find the value of x.
- Subtracting 0.4x from both sides of the equation, we get:
0.6x = 1680.
- Dividing both sides of the equation by 0.6, we get:
x = 1680 / 0.6.
- Evaluating the division, we find:
x = 2800.
Therefore, the total number of students in the school is 2800. Hence, the correct answer is option 'D'.
Let's assume the total number of students in the school is x.
- Given that 40% of the students are girls, we can calculate the number of girls as 40% of x, which is (40/100)x = 0.4x.
- We are also given that the number of boys is 1680.
- Since the total number of students in the school is the sum of the number of girls and boys, we can write the equation as:
x = 0.4x + 1680.
Now, let's solve this equation to find the value of x.
- Subtracting 0.4x from both sides of the equation, we get:
0.6x = 1680.
- Dividing both sides of the equation by 0.6, we get:
x = 1680 / 0.6.
- Evaluating the division, we find:
x = 2800.
Therefore, the total number of students in the school is 2800. Hence, the correct answer is option 'D'.
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40% of the students in a school are girls. If the number of boys is 1680, then what is the total number of students?a)2500b)2600c)2700d)2800Correct answer is option 'D'. Can you explain this answer?
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