document.write( "Question 1080464: A group of students is planning a trip using cars and minibuses. Each car can hold 5 students and each minibus can hold 14 students. There will be 53 students on the trip. The estimate for gas costs is $4 for each car and $6 for each minibus. The total cost for gas will be $32. How many cars and how many minibuses will the students use ?
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Algebra.Com's Answer #694580 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the number of cars used
\n" ); document.write( "Let $\"+b+\"$ = the number of minibuses used
\n" ); document.write( "------------------------------------------
\n" ); document.write( "(1) $\"+5a+%2B+14b+=+53+\"$
\n" ); document.write( "(2) $\"+4a+%2B+6b+=+32+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"4\"$
\n" ); document.write( "Multiply both sides of (2) by $\"5\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+20a+%2B+56b+=+212+\"$
\n" ); document.write( "(2) $\"+-20a+-+30b+=+-160+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+26b+=+52+\"$
\n" ); document.write( " $\"+b+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+4a+%2B+6b+=+32+\"$
\n" ); document.write( "(2) $\"+4a+%2B+6%2A2+=+32+\"$
\n" ); document.write( "(2) $\"+4a+=+20+\"$
\n" ); document.write( "(2) $\"+a+=+5+\"$
\n" ); document.write( "Ther are 5 cars and 2 minibuses
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\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+5a+%2B+14b+=+53+\"$
\n" ); document.write( "(1) $\"+5%2A5+%2B+14%2A2+=+53+\"$
\n" ); document.write( "(1) $\"+25+%2B+28+=+53+\"$
\n" ); document.write( "(1) $\"+53+=+53+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can check (2)\r
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