document.write( "Question 540794: Hi I am having trouble doing word problems. Here are the directions: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. Here is the question:
\n" ); document.write( " A woman earns 15% more than her husband. Together they make $69,875 per year. Find both salaries.
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Algebra.Com's Answer #353871 by jpg7n16(66)\"\" \"About 
You can put this solution on YOUR website!
Start by turning the words into equations. \"A woman earns 15% more than her husband.\" What does that mean in numbers? It means she makes 115% of what he does.
\n" ); document.write( "\"W=1.15%2AH\"
\n" ); document.write( "Part 2 of the problem. \"Together they make $69,875.\" Stated another way, when you add his and her salary together, it equals 69,875. How can you turn that into an equation?
\n" ); document.write( "\"W%2BH=69875\"
\n" ); document.write( "Then you need to solve for either the wife's or husband's salary, and use that answer to figure out what the other made. We do this by substituting 1 equation into the other. Since we already know what W equals, let's plug it in and see what happens:
\n" ); document.write( "\"W%2BH=69875\"
\n" ); document.write( "\"1.15H%2BH=69875\"
\n" ); document.write( "\"2.15H=69875\"
\n" ); document.write( "\"H=32500\"
\n" ); document.write( "So we know he makes $32,500 per year. 1 down, 1 to go. Now just pick a formula and subsitute in $32,500 for H. It doesn't matter which one you pick, you'll get the same answer.
\n" ); document.write( "\"W%2BH=69875\"
\n" ); document.write( "\"W%2B32500=69875\"
\n" ); document.write( "\"W=69875-32500=37375\"
\n" ); document.write( "or using the other one
\n" ); document.write( "\"W=1.15%2AH\"
\n" ); document.write( "\"W=1.15%2A32500=37375\"
\n" ); document.write( "Either way, you now have the two salaries. He makes $32,500 and she makes $37,375.
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