document.write( "Question 550388: a person on tour has 360 us for his daily expenses. if he extends his tour for 4 days , he has to cut down his daily expense by 3 us. find the original duration of the tour. \n" ); document.write( "
Algebra.Com's Answer #358691 by JBarnum(2146)\"\" \"About 
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ex: 3 dollars per day for 5 days is 15 dollars equation looks like: 3d=15 3(5)=15 15 being total amount of money
\n" ); document.write( "d=daily expense t=amount of days spent
\n" ); document.write( "\"360=dt\"
\n" ); document.write( "\"360=%28d%2B4%29%28t-3%29\"
\n" ); document.write( "the more word problems you do the easier it is to recognize thes equations straight from the problem
\n" ); document.write( "we want to find duration of tour (t) so solve first equation for (d) daily expenses to be able to substitute
\n" ); document.write( "\"360%2Ft=d\"
\n" ); document.write( "use foil method before substitution
\n" ); document.write( "\"360=%28d%2B4%29%28t-3%29\"foil
\n" ); document.write( "\"360=%28dt%2B4t-3d-12%29\"add 12 to both sides
\n" ); document.write( "\"372=dt%2B4t-3d\"substitue for (d)
\n" ); document.write( "\"372=%28360%2Ft%29t%2B4t-3%28360%2Ft%29\" multiply
\n" ); document.write( "\"372=360%2B4t-1080%2Ft\"subtract 360 from both sides
\n" ); document.write( "\"12=4t-1080%2Ft\"multiply everything by t
\n" ); document.write( "\"12t=4t%5E2-1080\" subtract 12t
\n" ); document.write( "\"0=4t%5E2-12t-1080\" take out the 4
\n" ); document.write( "\"0=4%28t%5E2-3-270%29\" find two numbers that multiply to get -270 and add to get -3
\n" ); document.write( ".
\n" ); document.write( "270=2*5*3*3*3 find all prime numbers to easily find the two numbers your looking for
\n" ); document.write( "3*5=15
\n" ); document.write( "3*3*2=18
\n" ); document.write( "15-18=-3
\n" ); document.write( "15*-18=-270
\n" ); document.write( ".
\n" ); document.write( "\"0=4%28t-18%29%28t%2B15%29\"
\n" ); document.write( "\"t=18\"\"t=-15\"
\n" ); document.write( "t cant be negative so \"highlight%28t=18%29\"
\n" ); document.write( "to find d:
\n" ); document.write( "\"360%2Ft=d\"
\n" ); document.write( "\"360%2F18=d\"
\n" ); document.write( "\"20=d\"
\n" ); document.write( "check
\n" ); document.write( "\"360=%28d%2B4%29%28t-3%29\"
\n" ); document.write( "\"360=%2820%2B4%29%2818-3%29\"
\n" ); document.write( "\"360=%2824%29%2815%29\"
\n" ); document.write( "\"360=%28360%29\"
\n" ); document.write( "correct
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