document.write( "Question 623918: Your brother earned $8 less than you. If you both earned $70, how much did each of you earn?\r
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\n" ); document.write( "Gina \n" ); document.write( "
Algebra.Com's Answer #392410 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, Gina--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "Your brother earned $8 less than you. If you both earned $70, how much did each of you earn?\r\n" );
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document.write( "A Solution:\r\n" );
document.write( "Let x be the amount of money you earned.\r\n" );
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document.write( "Since your brother earned $8 less, an expression for his earnings is x-8.\r\n" );
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document.write( "We know that together you and your brother earned $70.\r\n" );
document.write( "[the amount you earned] + [the amount your brother earned] = [$70]\r\n" );
document.write( "In algebra, we can write this relationship as\r\n" );
document.write( "x + x-8 = 70\r\n" );
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document.write( "Now we solve this equation for x. Combine the x terms: x+x=2x.\r\n" );
document.write( "2x - 8 = 70\r\n" );
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document.write( "Add 8 to both sides of the equation to get 2x by itself on the left hand side.\r\n" );
document.write( "2x - 8 + 8 = 70 + 8\r\n" );
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document.write( "Combine the like terms: -8+8 =0 and 70+8=78.\r\n" );
document.write( "2x = 78\r\n" );
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document.write( "Divide both sides of the equation by 2 to isolate the variable.\r\n" );
document.write( "2x/2 = 78/2\r\n" );
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document.write( "Simplify both sides: 2x/2=x and 78/2=39\r\n" );
document.write( "x = 39\r\n" );
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document.write( "In the context of this problem, x=39 means that you earned $39. Your bother earned $8 less, so he\r\n" );
document.write( "earned $31 because 39-8=31.\r\n" );
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document.write( "We need to check that these numbers add up to a total of $70. Your $39 and your brother's $31 \r\n" );
document.write( "add up to $70 because 39+31=70.\r\n" );
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document.write( "That's it. Please email me if you have questions or comments about the solution. I'd appreciate your\r\n" );
document.write( "feedback. (It will make me a better \"explainer.\")\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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