document.write( "Question 757067: two towns a and b are 7 miles apart. they want to build a new school to serve 380 students from a and 2120 students from b. how far from a should the school be built if the total distance traveled by all 2500 students is the smallest possible? \n" ); document.write( "
Algebra.Com's Answer #460605 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Two towns a and b are 7 miles apart. \n" ); document.write( "They want to build a new school to serve 380 students from a and \n" ); document.write( " 2120 students from b. \n" ); document.write( "How far from a should the school be built if the total distance \n" ); document.write( " traveled by all 2500 students is the smallest possible? \n" ); document.write( ": \n" ); document.write( "Build the school in town b \n" ); document.write( "then \n" ); document.write( "380*7 = 2660 total miles traveled (2120 students travel 0 miles) \n" ); document.write( ": \n" ); document.write( "For example, if the school was built 6 mi from a, then: \n" ); document.write( "total miles = 6(380) + 2120(1) = 4460 mi traveled by all 2500 \n" ); document.write( "Much larger total \n" ); document.write( " |