document.write( "Question 625065: Please help me with this question.
\n" ); document.write( "A pony and a donkey were carrying some bundles of cloth for a cloth merchant. On the way, the donkey said to the pony, \"If I give you one bundle, my load will be half of yours.\" In an angry mood, the pony retorted, \"Why don't you take one bundle from me, then my load will be half of yours!\" Assuming that the bundles are of equal weight, how many bundles did the pony and the donkey each carry?
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Algebra.Com's Answer #393331 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+p+\" = the number of bundles the pony carries
\n" ); document.write( "Let \"+d+\" = the number of bundles the donkey carries
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+%281%2F2%29%2A%28+p+%2B+1+%29+=+d+-+1+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+%281%2F2%29%2A%28+d+%2B+1+%29+=+p+-+1+\"
\n" ); document.write( "-------------------
\n" ); document.write( "(1) \"+p+%2B+1+=+2%2A%28+d+-+1+%29+\"
\n" ); document.write( "(1) \"+p+%2B+1+=+2d+-+2+\"
\n" ); document.write( "(1) \"+2d+-+p+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+%281%2F2%29%2A%28+d+%2B+1+%29+=+p+-+1+\"
\n" ); document.write( "(2) \"+d+%2B+1+=+2%2A%28+p+-+1+%29+\"
\n" ); document.write( "(2) \"+d+%2B+1+=+2p+-+2+\"
\n" ); document.write( "(2) \"+d+-+2p+=+-3+\"
\n" ); document.write( "Multiply both sides of (2) by \"+2+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+2d+-+p+=+3+\"
\n" ); document.write( "(2) \"+-2d+%2B+4p+=+6+\"
\n" ); document.write( "\"+3p+=+9+\"
\n" ); document.write( "\"+p+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+-+2p+=+-3+\"
\n" ); document.write( "(2) \"+d+-+2%2A3+=+-3+\"
\n" ); document.write( "(2) \"+d+=+6+-+3+\"
\n" ); document.write( "(2) \"+d+=+3+\"
\n" ); document.write( "They each have 3 bundles
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+%281%2F2%29%2A%28+p+%2B+1+%29+=+d+-+1+\"
\n" ); document.write( "(1) \"+%281%2F2%29%2A%28+3+%2B+1+%29+=+3+-+1+\"
\n" ); document.write( "(1) \"+4%2F2+=+2+\"
\n" ); document.write( "(1) \"+2+=+2+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+%281%2F2%29%2A%28+d+%2B+1+%29+=+p+-+1+\"
\n" ); document.write( "(2) \"+%281%2F2%29%2A%28+3+%2B+1+%29+=+3+-+1+\"
\n" ); document.write( "(2) \"+4%2F2+=+2+\"
\n" ); document.write( "(20 \"+2+=+2+\"
\n" ); document.write( "OK
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