document.write( "Question 1206189: 1/5 of the students in a class and an additional 3 students like badminton. 1/3 of the remaining students in the class and an additional 7 students like swimming and the remaining 23 students in the class like cycling. How many more students prefer swimming to badminton? \n" ); document.write( "

Algebra.Com's Answer #843456 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "1/5 of the students in a class and an additional 3 students like badminton.
\n" ); document.write( "1/3 of the remaining students in the class and an additional 7 students like swimming
\n" ); document.write( "and the remaining 23 students in the class like cycling.
\n" ); document.write( "How many more students prefer swimming to badminton?
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document.write( "Let x be the total number of the students in the class.\r\n" );
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document.write( " students like badminton.\r\n" );
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document.write( "The number of remaining  students is   = .\r\n" );
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document.write( "Hence, the number of students that like swimming is  +7 =  = .\r\n" );
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document.write( "Then x = those who like badminton + those who like swimming + 23,  or\r\n" );
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document.write( "     x =  +  + 23.\r\n" );
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document.write( "The setup is complete. To solve equation, multiply both sides by 15\r\n" );
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document.write( "    15x = (3x+45) + (4x+90) + 345.\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    15x = 7x + 480\r\n" );
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document.write( "    15x - 7x = 480\r\n" );
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document.write( "        8x   = 480\r\n" );
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document.write( "         x = 480/8 = 60.\r\n" );
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document.write( "The number of those who like badminton is   =  = 12+3 = 15.\r\n" );
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document.write( "The number of those who like swimming is   =  = 4*4+6 = 16+6 = 22.\r\n" );
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document.write( "The difference (which is the problem's question) is 22 - 15 = 7.\r\n" );
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document.write( "ANSWER.  7 students prefer swimming to badminton.\r\n" );
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