document.write( "Question 56700: Going to Austin, Bill caught a ride for two-third of the total distance with a friend. He then took a bus for one-fourth of the total distance. He walked the remaining 10 miles to arrive at his destination. What was total distance of his destination? \n" ); document.write( "
Algebra.Com's Answer #38474 by funmath(2933)\"\" \"About 
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Going to Austin, Bill caught a ride for two-third of the total distance with a friend. He then took a bus for one-fourth of the total distance. He walked the remaining 10 miles to arrive at his destination. What was total distance of his destination?
\n" ); document.write( "Let the total distance: x
\n" ); document.write( "Then he caught a ride with a friend for: (2/3)x
\n" ); document.write( "He rode a bus for: (1/4)x
\n" ); document.write( "He walked for: 10 mi.
\n" ); document.write( "The equation to solve:
\n" ); document.write( "\"%282%2F3%29x%2B%281%2F4%29x%2B10=x\" life is to short to fight with fractions, so eliminate the fractions by multiplying everything by the LCD, 12:
\n" ); document.write( "\"12%282%2F3%29x%2B12%281%2F4%29x%2B12%2810%29=12%28x%29\"
\n" ); document.write( "\"%2812%2F3%29%282x%29%2B%2812%2F4%29x%2B120=12x\"
\n" ); document.write( "\"4%282x%29%2B3x%2B120=12x\"
\n" ); document.write( "\"8x%2B3x%2B120=12x\"
\n" ); document.write( "\"11x%2B120=12x\"
\n" ); document.write( "\"-11x%2B11x%2B120=12x-11x\"
\n" ); document.write( "\"120=x\"
\n" ); document.write( "The total distance of the trip: x=120 mi.
\n" ); document.write( "Happy Calculating!!!
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