document.write( "Question 1013593: The average of one set of 4 numbers is 35. The average of another set of numbers is 20. The average of the numbers in the two sets is 30. How many numbers are in the other set? please help me out \n" ); document.write( "
Algebra.Com's Answer #629891 by MathTherapy(10559)\"\" \"About 
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\n" ); document.write( "The average of one set of 4 numbers is 35. The average of another set of numbers is 20. The average of the numbers in the two sets is 30. How many numbers are in the other set? please help me out
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Let the number of numbers in other set, be N
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document.write( "Then total of numbers in other set = 20N
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document.write( "As average of numbers in 1st set of 4 numbers is 35, the total of its 4 numbers is: 4(35), or 140
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document.write( "Since average of the 2 sets is 30, we can say that: \"%2820N+%2B+140%29%2F%28N+%2B+4%29+=+30\"
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document.write( "30(N + 4) = 20N + 140 ------- Cross-multiplying
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document.write( "30N + 120 = 20N + 140
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document.write( "30N - 20N = 140 - 120
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document.write( "10N = 20
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document.write( "N, or number of numbers in other set = \"20%2F10\", or \"highlight_green%282%29\" \n" );
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