document.write( "Question 87954: Word Problem to solve - thank you
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document.write( "need 50 warheads and silos to complete project
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document.write( "Cost per warhead is 4 million dollars and silo cost is 6 million
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document.write( "What is the number of warheads and silos I can produce if the budget is 210 million
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document.write( "Need the following steps:
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document.write( "1. assign variables
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document.write( "2. write algebraic model
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document.write( "3. solve the model
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document.write( "4. answer
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document.write( "thanks
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document.write( "BB \n" );
document.write( "
Algebra.Com's Answer #63837 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! x+y=50 \n" ); document.write( "Let x=warheads \n" ); document.write( "Let y = silos\r \n" ); document.write( "\n" ); document.write( "x+y=50 \n" ); document.write( "Than y=50-x \n" ); document.write( ". \n" ); document.write( "Each warhead (x) costs 4M; each silo (y) costs 6M; total cost is 210M \n" ); document.write( "4x+6y=210 [substitues y=50-x] \n" ); document.write( "4x+6(50-x)=210 [simplify and combine like-terms wherever possible] \n" ); document.write( "4x+300-6x=210 \n" ); document.write( "-2x+300=210 [solve for the x=term] \n" ); document.write( "-2x+300-300=210-300 \n" ); document.write( "-2x=-90 \n" ); document.write( "-2x/-2=-90/-2 \n" ); document.write( "x=45 warheads \n" ); document.write( ". \n" ); document.write( "So, x+y=50 \n" ); document.write( "45+y=50 \n" ); document.write( "y=5 silos \n" ); document.write( ". \n" ); document.write( "Check by using the original equation, plug-in the values: \n" ); document.write( "4x+6y=210 \n" ); document.write( "4(45)+6(5)=210 \n" ); document.write( "180+30=210 \n" ); document.write( "210=210 [checks out] \n" ); document.write( " |