document.write( "Question 667508: Please help me find the equations needed to solve this word problem:\r
\n" ); document.write( "\n" ); document.write( "A consumer set out to compare prices on premiums of comparable insurance policies offered by three companies: Country Farm, Metma, and Wisely. She found that Country Farm was $35 higher than Metma but $25 lower than Wisely. Wisely was $155 less than the sum of the premiums of the other two. Find the premium charged by each company.
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Algebra.Com's Answer #415082 by stanbon(75887)\"\" \"About 
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A consumer set out to compare prices on premiums of comparable insurance policies offered by three companies: Country Farm, Metma, and Wisely.
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\n" ); document.write( "She found that Country Farm was $35 higher than Metma but $25 lower than Wisely.
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\n" ); document.write( "Wisely was $155 less than the sum of the premiums of the other two.
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\n" ); document.write( "Find the premium charged by each company.
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\n" ); document.write( "Equations:
\n" ); document.write( "CF = M + 35
\n" ); document.write( "CF = W - 25
\n" ); document.write( "W = CF + M - 155
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\n" ); document.write( "Rearrange:
\n" ); document.write( "CF - M + 0 = 35
\n" ); document.write( "CF + 0 - W = -25
\n" ); document.write( "CF + M - W = 155
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\n" ); document.write( "I used the Matrix function on my TI-84 to get:
\n" ); document.write( "Country Farms = 215
\n" ); document.write( "Metma = 180
\n" ); document.write( "Wisely = 240
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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