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In the class, a farewell party was arranged. the number of girls in the class is twice the number of boys, each student contributes as many rupees as there are many boys. if the total contribution is rs 2352, the true statement is?
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In the class, a farewell party was arranged. the number of girls in th...
Given information:
- The number of girls in the class is twice the number of boys.
- Each student contributes as many rupees as there are boys.
- The total contribution is Rs 2352.

Let's solve the problem step by step:

Step 1: Understanding the problem:
- We need to find the number of boys and girls in the class.
- We also need to find the amount contributed by each student.

Step 2: Let's assume:
- Let's assume the number of boys in the class is 'x'.
- According to the given information, the number of girls will be twice the number of boys, so the number of girls will be '2x'.

Step 3: Contribution:
- Each student contributes as many rupees as there are boys. So, each boy contributes 'x' rupees and each girl contributes '2x' rupees.
- The total contribution is Rs 2352, so we can form the following equation:
- Contribution by boys + Contribution by girls = Total contribution
- (x * x) + (2x * 2x) = 2352
- x^2 + 4x^2 = 2352
- 5x^2 = 2352

Step 4: Solving the equation:
- We need to solve the equation 5x^2 = 2352 to find the value of 'x' (number of boys).
- Dividing both sides of the equation by 5: x^2 = 470.4
- Taking the square root of both sides: x = √470.4
- Calculating the square root: x ≈ 21.68

Step 5: Calculating the number of girls:
- The number of girls is twice the number of boys.
- Number of girls = 2x = 2 * 21.68
- Number of girls ≈ 43.36 ≈ 43 (approx.)

Step 6: Calculating the contribution:
- Each boy contributes 'x' rupees, which is approximately 21.68 rupees.
- Each girl contributes '2x' rupees, which is approximately 43.36 rupees.

Step 7: Checking the total contribution:
- Total contribution = (Number of boys * Contribution per boy) + (Number of girls * Contribution per girl)
- Total contribution = (21.68 * 21.68) + (43.36 * 43.36)
- Total contribution ≈ 470.4 + 1880.96
- Total contribution ≈ 2351.36 ≈ 2352 (approx.)

Step 8: Conclusion:
- The number of boys in the class is approximately 21.
- The number of girls in the class is approximately 43.
- Each boy contributes approximately Rs 21.68.
- Each girl contributes approximately Rs 43.36.
- The total contribution is Rs 2352, which matches the given information.

Therefore, the true statement is that the number of boys in the class is approximately 21.
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In the class, a farewell party was arranged. the number of girls in the class is twice the number of boys, each student contributes as many rupees as there are many boys. if the total contribution is rs 2352, the true statement is?
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