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36 vote

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) ?

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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) ?
1). 76.89
2). 77
3). 77.29
4). 76.98


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2 answers

19 vote
Answered by on | Votes 19 |
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

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41 vote
Answered by on | Votes 41 |
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




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