The average weight of 24 boys and 6 girls in a class is $40 ext{ kg}$. If the girls are excluded, the average weight of the remaining students decreases by $4 ext{ kg}$. What is the average weight of the 6 girls?

Question

The average weight of 24 boys and 6 girls in a class is $40 	ext{ kg}$. If the girls are excluded, the average weight of the remaining students decreases by $4 	ext{ kg}$. What is the average weight of the 6 girls?

Accepted Answer

**Solution:**

1. Calculate the total weight of all students:
   - Total students = $24 + 6 = 30$
   - Average weight = $40 	ext{ kg}$
   - Total weight = $30 	imes 40 = 1200 	ext{ kg}$

2. Calculate the total weight of only the boys:
   - Number of boys = $24$
   - New average weight when girls are excluded = $40 - 4 = 36 	ext{ kg}$
   - Total weight of boys = $24 	imes 36 = 864 	ext{ kg}$

3. Find the total weight of the girls:
   - Total weight of girls = Total weight of class $-$ Total weight of boys
   - $1200 - 864 = 336 	ext{ kg}$

4. Calculate the average weight of the 6 girls:
   - Average weight = $\frac{336}{6} = 56 	ext{ kg}$

**Answer:** $56 	ext{ kg}$

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