document.write( "Question 1180507: Amber makes toys for the children in the Children’s Hospital at Christmas.
\n" ); document.write( "She makes wagons (with four wheels) and trikes (with 3 wheels). She used 68
\n" ); document.write( "wheels for the toys for last Christmas. What number of wagons and trikes might
\n" ); document.write( "she have made? Make sure you can verify you have all possibilities. \n" ); document.write( "
Algebra.Com's Answer #810209 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Amber makes toys for the children in the Children’s Hospital at Christmas.
\n" ); document.write( "She makes wagons (with four wheels) and trikes (with 3 wheels). She used 68
\n" ); document.write( "wheels for the toys for last Christmas. What numbers of wagons and trikes
\n" ); document.write( "might she have made? Make sure you can verify you have all possibilities.
\r\n" );
document.write( "Let t be the number of trikes and w be the number of wagons. So:\r\n" );
document.write( "\r\n" );
document.write( "3t + 4w = 68\r\n" );
document.write( "\r\n" );
document.write( "Solve for w\r\n" );
document.write( "\r\n" );
document.write( "     4w = 68 - 3t\r\n" );
document.write( "    \r\n" );
document.write( "      w = 17 - (3t)/4\r\n" );
document.write( "\r\n" );
document.write( "(3t)/4 must be a whole number so t must be a multiple of 4, to make \r\n" );
document.write( "(3t)/4 a whole number. [0 is a multiple of 4 so we must include 0.]\r\n" );
document.write( "\r\n" );
document.write( "      t       17-(3t)/4     =      w\r\n" );
document.write( "    -------------------------------- \r\n" );
document.write( "      0       17-   0/4 = 17- 0 = 17\r\n" );
document.write( "      4       17-  12/4 = 17- 3 = 14\r\n" );
document.write( "      8       17-  24/4 = 17- 6 = 11\r\n" );
document.write( "     12       17-  36/4 = 17- 9 =  8\r\n" );
document.write( "     16       17-  48/4 = 17-12 =  5\r\n" );
document.write( "     20       17-  60/4 = 17-15 =  2\r\n" );
document.write( "\r\n" );
document.write( "There are 6 possibilities.\r\n" );
document.write( "\r\n" );
document.write( "[The other tutor left out the possibility that Amber could have made 17\r\n" );
document.write( "wagons and no trikes, but there is no reason she couldn't have made only\r\n" );
document.write( "wagons.  We just know that she used all 68 wheels with none left over.]\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );