document.write( "Question 1050457: A relief organization supplies blankets, cots, and lanterns to victims of fires, floods, and other natural disasters. One week the organization purchased 15 blankets, 10 cots, and 5 lanterns for a total cost of $1200. The next week, at the same price, the organization purchased 15 blankets, 20 cots, and 5 lanterns for a total cost of $1800. The next week, at the same price, the organization purchased 5 blankets, 30 cots, and 5 lanterns for a total cost of $2150. Find the cost of each item. \n" ); document.write( "

Algebra.Com's Answer #666287 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"15B%2B10C%2B5L=1200\"$
\n" ); document.write( "2. $\"15B%2B20C%2B5L=1800\"$
\n" ); document.write( "3. $\"5B%2B30C%2B5L=2150\"$
\n" ); document.write( "Subtract eq. 3 from eq. 1 and eq. 2,
\n" ); document.write( " $\"15B%2B10C%2B5L-5B-30C-5L=1200-2150\"$
\n" ); document.write( " $\"10B-20C=-950\"$
\n" ); document.write( "4. $\"B-2C=-95\"$
\n" ); document.write( "and
\n" ); document.write( " $\"15B%2B20C%2B5L-5B-30C-5L=1800-2150\"$
\n" ); document.write( " $\"10B-10C=-350\"$
\n" ); document.write( "5. $\"B-C=-35\"$
\n" ); document.write( "Now subtract eq. 5 from eq. 4,
\n" ); document.write( " $\"B-2C-B%2BC=-95-%28-35%29\"$
\n" ); document.write( " $\"-C=-60\"$
\n" ); document.write( " $\"C=60\"$
\n" ); document.write( "So then working backwards,
\n" ); document.write( " $\"B-60=-35\"$
\n" ); document.write( " $\"B=25\"$
\n" ); document.write( "and finally,
\n" ); document.write( " $\"5%2825%29%2B30%2860%29%2B5L=2150\"$
\n" ); document.write( " $\"125%2B1800%2B5L=2150\"$
\n" ); document.write( " $\"5L=225\"$
\n" ); document.write( " $\"L=45\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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