document.write( "Question 624505: While waiting for a friend to decide on a bike to buy for his daughter, Jake looked
\n" ); document.write( "over the bikes and wagons and, out of boredom, started to count them. He counted 45 vehicles and
\n" ); document.write( "100 tires but did not bother to keep track of how many vehicles of each type there are. How many
\n" ); document.write( "bikes and how many wagons are there? Use linear equations to solve this problem. \n" ); document.write( "

Algebra.Com's Answer #392787 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+w+\"$ = the number of wagons
\n" ); document.write( "Let $\"+b+\"$ = the number of bikes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+w+%2B+b+=+45+\"$
\n" ); document.write( "(2) $\"+4w+%2B+2b+=+100+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+4w+%2B+2b+=+100+\"$
\n" ); document.write( "(1) $\"+-2w+-+2b+=+-90+\"$
\n" ); document.write( " $\"+2w+=+10+\"$
\n" ); document.write( " $\"+w=+5+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+w+%2B+b+=+45+\"$
\n" ); document.write( "(1) $\"+5+%2B+b+=+45+\"$
\n" ); document.write( "(1) $\"+b+=+40+\"$
\n" ); document.write( "There are 40 bikes and 5 wagons
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+4%2A5+%2B+2%2A40+=+100+\"$
\n" ); document.write( "(2) $\"+20+%2B+80+=+100+\"$
\n" ); document.write( "(2) $\"+100+=+100+\"$ \n" ); document.write( "

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