document.write( "Question 890201: There are 4 large buses and 5 small buses. The large buses has 12 more seats than the smaller buses. There are 336 seats total? How many more seats are on the large buses?
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Algebra.Com's Answer #538781 by Edwin McCravy(20055) $\"\"$ $\"About$

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$\"%28matrix%284%2C1%2C%0D%0ANumber%2Cof%2CLARGE%2Cbuses%29%29\"$ $\"TIMES\"$ $\"%28matrix%287%2C1%2C%0D%0A%0D%0ANumber%2Cof%2Cseats%2Con%2Ca%2CLARGE%2Cbus%29%29\"$ $\"PLUS\"$ $\"%28matrix%284%2C1%2C%0D%0ANumber%2Cof%2CSMALL%2Cbuses%29%29\"$ $\"TIMES\"$ $\"%28matrix%287%2C1%2C%0D%0A%0D%0ANumber%2Cof%2Cseats%2Con%2Ca%2CSMALL%2Cbus%29%29\"$ $\"EQUALS\"$ $\"%28matrix%289%2C1%2C%0D%0AThe%2Ctotal%2Cnumber%2Cof%2Cseats%2Con%2Call%2Cthe%2Cbuses%29%29\"$
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\n" ); document.write( "There are 4 large buses
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document.write( "Number of LARGE buses = 4\r\n" );
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\n" ); document.write( "and 5 small buses.
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document.write( "Number of SMALL buses = 5\r\n" );
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\n" ); document.write( "The large buses have 12 more seats than the smaller buses.
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document.write( "Number of seats on a LARGE bus = WE DON'T KNOW!\r\n" );
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document.write( "Number of seats on a SMALL bus = WE DON'T KNOW!\r\n" );
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document.write( "So we have to let one of these equal to an unknown letter,\r\n" );
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document.write( "Since this sentence:\r\n" );
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\n" ); document.write( "The large buses have 12 more seats than the smaller buses.
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document.write( "defines the number of seats on the LARGE buses in terms of the number\r\n" );
document.write( "of seats on the SMALL buses, we let the letter N represent the second\r\n" );
document.write( "one, the number of seats on a SMALL bus.\r\n" );
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document.write( "Number of seats on a SMALL bus = N\r\n" );
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document.write( "This sentence:\r\n" );
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\n" ); document.write( "The large buses have 12 more seats than the smaller buses.
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document.write( "tells us that we would add 12 to N to get the number of seats on a\r\n" );
document.write( "LARGE bus, so we add 12 to N, and get:\r\n" );
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document.write( "Number of seats on a LARGE bus = (N+12)\r\n" );
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\n" ); document.write( "There are 336 seats total.
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document.write( "So the total number of seats on all the buses = 336.\r\n" );
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document.write( "So we have:\r\n" );
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document.write( "          4(N+12) + 5N = 336\r\n" );
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document.write( "Use the distributive principle to remove the parentheses:\r\n" );
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document.write( "            4N+48 + 5N = 336\r\n" );
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document.write( "Combine like terms 4N and 5N getting 9N\r\n" );
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document.write( "               9N + 48 = 336\r\n" );
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document.write( "Subtract 48 from both sides:\r\n" );
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document.write( "                    9N = 288\r\n" );
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document.write( "Divide both sides by 9\r\n" );
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document.write( "                    = \r\n" );
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document.write( "Cancel the 9's anddivide 288 by 9\r\n" );
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document.write( "                                  32\r\n" );
document.write( "                            N = 9)288  \r\n" );
document.write( "                                 27\r\n" );
document.write( "                                  18\r\n" );
document.write( "                                  18\r\n" );
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document.write( "                            N = 32\r\n" );
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document.write( "Number of seats on a SMALL bus = N = 32\r\n" );
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document.write( "Number of seats on a LARGE bus = (N+12) = (32+12) = 44\r\n" );
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document.write( "Checking:  5 SMALL busses times 32 seats = 5×32 = 160\r\n" );
document.write( "           4 LARGE busses times 44 seats = 4×44 = 176\r\n" );
document.write( "                               TOTAL SEATS      = 336\r\n" );
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document.write( "That checks, so we are right.\r\n" );
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document.write( "Edwin

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