document.write( "Question 104022: An inheritance is divided into two investments. One investment pays 7% annual interest whereas the second investment, which is twice as large as the first, pays 10% annual interest. If the combined annual income from both investments is $4050, how much money is the total inheritance?
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Algebra.Com's Answer #75892 by Fombitz(32388)\"\" \"About 
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Let's name the two investments A and B.
\n" ); document.write( "Write down what you know.
\n" ); document.write( "\"second investment, which is twice as large as the first\"
\n" ); document.write( "1.\"B=2A\"
\n" ); document.write( "Rates and annual income...
\n" ); document.write( "2.\"0.07%2AA%2B0.10%2AB=4050\"
\n" ); document.write( "Substitute equation 1 into 2.
\n" ); document.write( "\"0.07%2AA%2B0.10%2AB=4050\"
\n" ); document.write( "\"0.07%2AA%2B0.10%2A%282A%29=4050\"
\n" ); document.write( "\"0.07%2AA%2B0.20%2AA=4050\"
\n" ); document.write( "\"0.27%2AA=4050\"
\n" ); document.write( "\"A=15000\"
\n" ); document.write( "Substitute your result into equation 1.
\n" ); document.write( "\"B=2A\"
\n" ); document.write( "\"B=2%2815000%29\"
\n" ); document.write( "\"B=30000\"
\n" ); document.write( "Check your answer
\n" ); document.write( "7% annual interest from $15,000 equals
\n" ); document.write( "\"%280.07%29%2815000%29=+1050\"
\n" ); document.write( "10% annual interest from $30,000 equals
\n" ); document.write( "\"%280.10%29%2830000%29+=+3000\"
\n" ); document.write( "\"1050%2B3000=4050\"
\n" ); document.write( "\"4050=4050\"
\n" ); document.write( "Good answer.
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