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The average weight of a class is 40 kg. 10 new students of average weight 38 kg, joined the class there by decreasing the average by 1 kg. What is the original strength of the class?
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The average weight of a class is 40 kg. 10 new students of average wei...
- Original Class Strength Calculation:
Given that the average weight of the class is 40 kg, and the average weight decreased by 1 kg when 10 new students of average weight 38 kg joined the class. Let's denote the original class strength by 'x'.
- Initial Total Weight Calculation:
The initial total weight of the class can be calculated by multiplying the original class strength by the average weight:
Total weight = 40 kg * x
- Final Total Weight Calculation:
After the 10 new students joined the class, the total weight of the class becomes:
Total weight = 38 kg * (x + 10)
- Equation Formulation:
According to the given information, the average weight decreased by 1 kg. So, we can set up the equation:
40x = 38(x + 10)
- Solving the Equation:
Solving the equation will give us the original class strength:
40x = 38x + 380
2x = 380
x = 190
- Original Class Strength:
Therefore, the original strength of the class was 190 students before the new students joined.
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The average weight of a class is 40 kg. 10 new students of average weight 38 kg, joined the class there by decreasing the average by 1 kg. What is the original strength of the class?
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