document.write( "Question 1128070: Would appreciate a simple solution that a 5th grader can understand. Thanks in advance!\r
\n" ); document.write( "\n" ); document.write( "Ron and Matt both bought postcards during their trip to New Zealand. At the end of the trip, they decided to trade. Ron traded half of his postcards for 9 of Matt’s postcards. After that trade, each of them has 21 postcards. How many postcards did Ron have before the trade? How many postcards did Matt have before the trade?
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Algebra.Com's Answer #744543 by htmentor(1343)\"\" \"About 
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Let R = Ron's postcards before the trade
\n" ); document.write( "Let M = Matt's postcards before the trade
\n" ); document.write( "After the trade, Ron has R/2 + 9 since he traded half and received 9 from Matt
\n" ); document.write( "After the trade, Matt has M - 9 + R/2 since he gave away 9 and received half of Ron's
\n" ); document.write( "Both have 21 after the trade. In equation form this is:
\n" ); document.write( "R/2 + 9 = 21
\n" ); document.write( "M - 9 + R/2 = 21
\n" ); document.write( "The first equation gives R = 24
\n" ); document.write( "Solving for M in the second equation we get:
\n" ); document.write( "M - 9 + 12 = 21
\n" ); document.write( "This gives M = 18
\n" ); document.write( "Ron has 24, Matt has 18
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