document.write( "Question 143911: 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 Mary make per hour?
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Algebra.Com's Answer #104728 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
Okay, in the problem, Mary's and Dennis' wages are based on John. So let's assigned \"x\"= John's hourly wage. And Mary's age is twice that of John = \"2x\".
\n" ); document.write( "Also Dennis wage is 1/3 of John's rate= \"1/3(x)\", right?
\n" ); document.write( "Now, there's a condition that John's and Dennis' wages total $60 per hour. To show,
\n" ); document.write( " $\"x+%2B+1%2F3%28x%29+=+%2460%2Fhr\"$ right? -------------- eqn 1
\n" ); document.write( "continuing,
\n" ); document.write( " $\"%283x%2Bx%29%2F3+=%2460%2Fhr\"$
\n" ); document.write( " $\"4x=+%24180%2Fhr\"$
\n" ); document.write( " $\"x=+%2445%2Fhr+\"$ ---------- John's hourly rate
\n" ); document.write( "For Mary, \"2x\" = 2($45) = $\"%2490%2Fhr\"$
\n" ); document.write( "Also for Dennis, $\"1%2F3%28x%29+=1%2F3%28%2445%29+=+%2415%2Fhr\"$
\n" ); document.write( "There you go,it shows Mary's wage $\"%28%2490%2Fhr%29\"$ is twice that of John's wage $\"%28%2445%2Fhr%29\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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