document.write( "Question 1183108: Eric can put together a bookshelf in two steps. The first step requires 5 wooden boards and 9 nails. The second step requires 3 wooden boards and 6 nails. If Eric has 70 wooden boards and 110 nails available in his workshop, what is the maximum number of bookshelves he could put together? \n" ); document.write( "
Algebra.Com's Answer #813280 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i think 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he requires 5 boards for step 1 and 3 boards for step 2. \n" ); document.write( "that's a total of 8 boards for step 1 and step 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he requires 9 nails for step 1 and 6 nails for step 2. \n" ); document.write( "that's a total of 15 nails for step 1 and 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he has 70 boards and 110 nails.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "70 divided by 8 = 8 bookshelves = 64 boards with 6 boards left over.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "110 / 15 = 7 bookshelves = 105 nails with 5 nails left over.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the limiting factor is the nails.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore 7 bookshelves can be made.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * 8 = 56 boards with 14 left over.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * 15 = 105 nails with 5 left over.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the left over material is not enough to finish an additional bookshelf because an additional bookshelf required 8 bvoards and 15 nails.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there are enough boards left over but not enough nails left over to finish another bookshelf.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |