document.write( "Question 111232: We think we have the answer, but the answer does not appear on the worksheet as a possible solution.\r
\n" ); document.write( "\n" ); document.write( "A set of children's blocks contains 3 shapes, longs, flats & cubes. There are 3 times as many longs as cubes and 30 fewer flats than longs. If there are 600 blocks in all, how many longs are there?\r
\n" ); document.write( "\n" ); document.write( "600 = c + l + f
\n" ); document.write( "c = 3l
\n" ); document.write( "f = l -30\r
\n" ); document.write( "\n" ); document.write( "600 = 3l + l + l-30
\n" ); document.write( "600 = 5l - 30
\n" ); document.write( "630 = 5l
\n" ); document.write( "l = 126\r
\n" ); document.write( "\n" ); document.write( "Is this correct, or has something been transposed?
\n" ); document.write( "

Algebra.Com's Answer #81133 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Think about your basic assumptions. The problem says
\n" ); document.write( "there are 3 times as many longs as cubes. So, if L = longs
\n" ); document.write( "and C = cubes, then l is quite a bit bigger than C.
\n" ); document.write( "But you said \"C+=+3L\", which makes C three times bigger than L.
\n" ); document.write( "\"L+=+3C\" this is correct
\n" ); document.write( "\"F+=+L+-+30\" same as yours
\n" ); document.write( "\"C+%2B+F+%2B+L+=+600\"
\n" ); document.write( "\"%28l%2F3%29+=+%28L+-+30%29+%2B+L+=+600\"
\n" ); document.write( "\"L+%2B+3L+-+90+%2B+3L++=+1800\"
\n" ); document.write( "\"7L+=+1890\"
\n" ); document.write( "\"L+=+270\" answer
\n" ); document.write( "check answer
\n" ); document.write( "\"C+=+l%2F3\"
\n" ); document.write( "\"C+=+270%2F3\"
\n" ); document.write( "\"C+=+90\"
\n" ); document.write( "\"F+=+l+-+30\"
\n" ); document.write( "\"F+=+270+-+30\"
\n" ); document.write( "\"F+=+240\"
\n" ); document.write( "\"C+%2B+F+%2B+L+=+600\"
\n" ); document.write( "\"90+%2B+240+%2B+270+=+600\"
\n" ); document.write( "\"600+=+600\" OK
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