document.write( "Question 68725This question is from textbook
\n" ); document.write( ": the school cafeteria surveyed the student body and discovered that 13/15 of the students listed pizza as their favorite lunch. There was a total of 78 students that liked pizza best. how many students were in the student body? \n" ); document.write( "
Algebra.Com's Answer #48928 by rmromero(383)\"\" \"About 
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What is asked in the problem?
\n" ); document.write( "How many students were in the student body?
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\n" ); document.write( "Given:
\n" ); document.write( "13/15 of the student body like pizza as their favorite lunch.
\n" ); document.write( "78 of the students liked pizza best.
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\n" ); document.write( "13/15 of the student body is 78.
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\n" ); document.write( "Let x = the total number of the student body.
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Translate the sentence to mathematical equation.
\n" ); document.write( "\"%2813%2F15%29%2Ax+=+78\"
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\"%2813%2F15%29x+=+78\" >>>>> multiply the reciprocal of 13/15
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\"%2815%2F13%29%2813%2F15%29x+=+78%2815%2F13%29\"
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\"highlight+%28x+=+90%29\" -----> There are 90 students in the student body.\r
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Checking:
\n" ); document.write( "13/15 of 90 = 78
\n" ); document.write( "(13/15)90 = 78
\n" ); document.write( "78 = 78 ------------->>True\r
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