document.write( "Question 1161079: Raina, Kevin, and Dan sent a total of
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document.write( "104
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document.write( " text messages during the weekend. Dan sent
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document.write( "2
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document.write( " times as many messages as Raina. Kevin sent
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document.write( "8
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document.write( " more messages than Raina. How many messages did they each send?
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document.write( " \n" );
document.write( "
Algebra.Com's Answer #784522 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Raina, Kevin, and Dan sent a total of 104 text messages during the weekend. \n" ); document.write( "r + k + d = 104 \n" ); document.write( " Dan sent 2 times as many messages as Raina. \n" ); document.write( "d - 2r \n" ); document.write( " Kevin sent 8 more messages than Raina. \n" ); document.write( "k = r + 8 \n" ); document.write( "Using the first equation, replace d with 2r; replace k with (r+8) \n" ); document.write( "r + 2r + (r+8) = 104 \n" ); document.write( "4r = 104 - 8 \n" ); document.write( "r = 96/4 \n" ); document.write( "r = 24 msg by Raina \n" ); document.write( "then \n" ); document.write( "d = 2(24) \n" ); document.write( "d = 48 msg by Dan \n" ); document.write( "and \n" ); document.write( "k = 24 + 8 \n" ); document.write( "k = 32 msg by Kevin \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out \n" ); document.write( "24 + 48 + 32 = 104 \n" ); document.write( " \n" ); document.write( " |