document.write( "Question 1193429: Hi
\n" ); document.write( "If each bus takes 40 kids,20 kids will not be able to board. If each bus takes 36 kids, there will be 12 vacant seats.
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Algebra.Com's Answer #825443 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "One way to solve is to list the possible values for each of the two bus capacities.   For the 40-capacity case, note that 60 kids is the first number
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document.write( " that has 20 left over, and we then add 40 for each additional bus.\r
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document.write( "      40           36
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document.write( "     ----         ----
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document.write( "      60           48
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document.write( "      100          84
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document.write( "      140          120
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document.write( "      180          156
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document.write( "      220          192
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document.write( "      260          228
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document.write( "      300          264
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document.write( "                   300\r
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document.write( "The number of kids is 300.  The number of buses, however, can not be determined from the problem statement.   In the case where each bus holds 40, then there are 7 buses, but if each bus holds 36, then there are 8 buses.  If each bus holds 30 kids, then there are 10, etc.\r
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document.write( "Oh thanks tutor ikleyn, I see the 2nd case of buses with capacity 36, the problem mentions VACANT seats.... while I incorrectly treated that portion of the problem as though there was a shortage of seats.   \n" );
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