document.write( "Question 1135719: Out of the 95 travellers interviewed, 7 travelled by bus and train only, 3
\n" ); document.write( "by train and car only and 8 travelled by all three means of transport. The
\n" ); document.write( "number, x, of travellers who travelled by bus only equal to the number who
\n" ); document.write( "travelled by bus and car only. If 47 people travelled by bus and 30 by
\n" ); document.write( "train.
\n" ); document.write( "(i) represent this information in a Venn diagram;
\n" ); document.write( "(ii) calculate the
\n" ); document.write( " I. value of x;
\n" ); document.write( " II. number who travelled by at least two means. \n" ); document.write( "

Algebra.Com's Answer #753384 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
My Venn diagram shows:
\n" ); document.write( "(1)
\n" ); document.write( " $\"+x+%2B+x+%2B+7+%2B+8+=+47+\"$
\n" ); document.write( " $\"+2x+%2B+15+=+47+\"$
\n" ); document.write( " $\"+2x+=+32+\"$
\n" ); document.write( " $\"+x+=+16+\"$
\n" ); document.write( "(2)
\n" ); document.write( "Number who traveled by at least 2 means:
\n" ); document.write( " $\"+x+%2B+8+%2B+7+%2B+3+=+x+%2B+18+\"$
\n" ); document.write( " $\"+x+%2B+18+=+16+%2B+18+\"$
\n" ); document.write( " $\"+x+%2B+18+=+34+\"$
\n" ); document.write( "This is:
\n" ); document.write( "[ bus and car only ] and [ train and car only ]
\n" ); document.write( "and [ bus and train only ] and [ all three only ] \n" ); document.write( "

\n" );