The average weight of *X* boys in a class is $40 kg$ and the average weight of $18$ girls in the same class is $25 $. If the total weight of all students in the class is $1410 kg$, what is the value of $2.5X$?

Question

The average weight of *X* boys in a class is $40 kg$ and the average weight of $18$ girls in the same class is $25 	$. If the total weight of all students in the class is $1410 	kg$, what is the value of $2.5X$?

Accepted Answer

**Solution:**

1. Let the number of boys be *X*.

2. Total weight of boys = $40 	* X = 40X$

3. Total weight of girls = $25 * 18 = 450$

4. According to the problem, total weight of boys and girls combined is $1410$ kg:
   
   $$40X + 450 = 1410$$

5. Subtract $450$ from both sides:
   
   $$40X = 1410 - 450 = 960$$

6. Divide both sides by $40$ to find *X*:
   
   $$X = \frac{960}{40} = 24$$

7. Required value is $2.5 	imes X$:
   
   $$2.5 * 24 = 60$$

**Answer:** $60$

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