document.write( "Question 905648: Over the weekend, Juan bicycled 49 miles. On Sunday he rode 10 miles more than one-half of his distance on Saturday. Find the number of miles he rode each day. \n" ); document.write( "
Algebra.Com's Answer #549364 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let N be Sunday, and S represent Saturday. \n" ); document.write( "S + N = 49 \n" ); document.write( "N = .5S + 10 \n" ); document.write( "Take the value of N from the second equation and put it into the first. \n" ); document.write( "S + N = 49 \n" ); document.write( "S + (.5S+10) = 49 \n" ); document.write( "1.5S + 10 = 49 \n" ); document.write( "Subtract 10 from each side \n" ); document.write( "1.5S = 39 \n" ); document.write( "Divide each side by 1.5 \n" ); document.write( "S = 26 \n" ); document.write( "If he rode 26 miles on Saturday, then he rode 49-26, or 23 on Sunday. Prove it: On Sunday he rode 10 miles more than one-half of his distance on Saturday. \n" ); document.write( "One-half of Saturday's distance is 26/2, or 13. \n" ); document.write( "Ten more than 13 is 23. \n" ); document.write( " |