document.write( "Question 1004368: Hi.
\n" ); document.write( "there are 2 classes with an average of 62. One class of 36 students has an avg of 50 and the other class has an avg of 80. How many students are in the other class?\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 24 but I am not sure why.
\n" ); document.write( "Can someone please tell me the steps to solve this.
\n" ); document.write( "Thanks.
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Algebra.Com's Answer #620920 by ikleyn(52800)\"\" \"About 
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\n" ); document.write( "there are 2 classes with an average of 62. One class of 36 students has an avg of 50 and the other class has an avg of 80. How many students are in the other class?
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\n" ); document.write( "\n" ); document.write( "One class of 36 students has an avg of 50.
\n" ); document.write( "So, their scores are 36*50 = 1800 in total.\r
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\n" ); document.write( "\n" ); document.write( "The second class of x (unknown) students has an avg of 80.
\n" ); document.write( "So, their scores are x*80 = 80x in total.\r
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\n" ); document.write( "\n" ); document.write( "The scores for both classes are 1800 + 80x.
\n" ); document.write( "The number of students in both classes is (36+x).\r
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\n" ); document.write( "\n" ); document.write( "The average score for two classes is \"%281800%2B80x%29%2F%2836%2Bx%29\".
\n" ); document.write( "It is equal to 62.\r
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\n" ); document.write( "\n" ); document.write( "So, your equation is \r
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\n" ); document.write( "\n" ); document.write( "\"%281800%2B80x%29%2F%2836%2Bx%29\" = 62.\r
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\n" ); document.write( "\n" ); document.write( "Solve it for x.\r
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\n" ); document.write( "\n" ); document.write( "1800 + 80x = 62*(36+x),\r
\n" ); document.write( "\n" ); document.write( "1800 + 80x = 2232 + 62x\r
\n" ); document.write( "\n" ); document.write( "80x - 62x = 2232 - 1800,\r
\n" ); document.write( "\n" ); document.write( "18x = 432,\r
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\n" ); document.write( "\n" ); document.write( "x = \"432%2F18\" = 24.\r
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