document.write( "Question 1051894: School A and School B have taken a field trip to a professional baseball game. School A took eight vans and eight buses to get it's 240 students to the game. School B took 4 vans and one bus to get it's 54 students to the game. Find the number of students that were in each van and bus. \n" ); document.write( "

Algebra.Com's Answer #667345 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = number in a van
\n" ); document.write( "Let $\"+b+\"$ = number in a bus
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) $\"+8a+%2B+8b+=+240+\"$
\n" ); document.write( "(2) $\"+4a+%2B+1%2Ab+=+54+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+2+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+8a+%2B+8b+=+240+\"$
\n" ); document.write( "(2) $\"+-8a+-+2b+=+-108+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( " $\"+6b+=+132+\"$
\n" ); document.write( " $\"+b+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+4a+%2B+1%2A22+=+54+\"$
\n" ); document.write( "(2) $\"+4a+=+54+-+22+\"$
\n" ); document.write( "(2) $\"+4a+=+32+\"$
\n" ); document.write( "(2) $\"+a+=+8+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "There were 8 students in a van and
\n" ); document.write( "22 students in a bus
\n" ); document.write( "---------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+4a+%2B+1%2Ab+=+54+\"$
\n" ); document.write( "(2) $\"+4%2A8+%2B+1%2A22+=+54+\"$
\n" ); document.write( "(2) $\"+32+%2B+22++=+54+\"$
\n" ); document.write( "(2) $\"+54+=+54+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can check (1)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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