In a class there are 30 girls and 15 boys and the total average weight of the class is $47 \frac{7}{15}$ kg. The average weight of boys is 58 kg. Find the approximate average weight of girls.

Question

Accepted Answer

**Solution:**

1. Convert the mixed fraction average weight of the class to an improper fraction:
   $$47 \frac{7}{15} = \frac{(47 	imes 15) + 7}{15} = \frac{705 + 7}{15} = \frac{712}{15}$$

2. Total number of students = 30 (girls) + 15 (boys) = 45

3. Calculate total weight of all students:
   $$	ext{Total weight} = 	ext{Average weight} 	imes 	ext{Number of students} = \frac{712}{15} 	imes 45 = 712 	imes 3 = 2136 	ext{ kg}$$

4. Calculate total weight of boys:
   $$15 	imes 58 = 870 	ext{ kg}$$

5. Calculate total weight of girls:
   $$2136 - 870 = 1266 	ext{ kg}$$

6. Calculate average weight of girls:
   $$\frac{1266}{30} = 42.2 	ext{ kg} \approx 42 	ext{ kg}$$

**Answer:** 42 kg

Answer

Answer

Answer