document.write( "Question 143912: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
\n" );
document.write( "Mary’s hourly wage is twice that of John’s. John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does John make per hour?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #104726 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Mary’s hourly wage is twice that of John’s. \n" ); document.write( "Let John's hourly wage be \"x\"; Then Mary's hourly wage is \"2x\" \n" ); document.write( "----------------------\r \n" ); document.write( "\n" ); document.write( " John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does John make per hour? \n" ); document.write( "EQUATIONS: \n" ); document.write( "J + D = 60 \n" ); document.write( "D = (1/3)J \n" ); document.write( "------------ \n" ); document.write( "Substitute to solve for J: \n" ); document.write( "J + (1/3)J = 60 \n" ); document.write( "(4/3)J = 60 \n" ); document.write( "J = (3/4)60 = $45 per hour (John's hourly wage rate) \n" ); document.write( "Substitute in J+D=60 to solve for D: \n" ); document.write( "45 + D = 60 \n" ); document.write( "D = $15 (Dennis's hour wage rate) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |