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In a class 45 students boys and girls are in the ratio of 5 : 4 respectively. Average marks obtained by boys in Mathematics out of 100 were…

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In a class 45 students boys and girls are in the ratio of 5 : 4 respectively. Average marks obtained by boys in Mathematics out of 100 were 76 and that of girls were 78. What are average marks of boys and girls together in Mathematics (rounded-off to two decimal points) ?
  • A76.89
  • B77
  • C77.29
  • D76.98
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0
CCommunity
Solution
The number of boys in the class is $\frac{5}{5+4}*45 = 25$

The number of girls in the class is $\frac{4}{5+4}*45=20$
Average marks obtained by boys is 76 and that of girls is 78.

Hence, the total marks obtained by the students is 76*25+78*20 = 3460
Therefore, the average marks obtained by the students together is 3460/45 = 76.89
0
CCommunity
Solution
The number of boys in the class is $\frac{5}{5+4}*45 = 25$

The number of girls in the class is $\frac{4}{5+4}*45=20$
Average marks obtained by boys is 76 and that of girls is 78.

Hence, the total marks obtained by the students is 76*25+78*20 = 3460
Therefore, the average marks obtained by the students together is 3460/45 = 76.89