document.write( "Question 115404: 11-1 Landscaping: A 24-ton mixture of crushed rock is needed in a construction job; it will cost $800. If the nixture is composed of rock costing $30 per ton and $40 per ton, how many tons of each should be added? \n" ); document.write( "
Algebra.Com's Answer #84070 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A 24-ton mixture of crushed rock is needed in a construction job; it will cost $800. If the mixture is composed of rock costing $30 per ton and $40 per ton, how many tons of each should be added? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 40/ton rock \n" ); document.write( "Then \n" ); document.write( "(24-x) = amt of 30/ton rock \n" ); document.write( ": \n" ); document.write( "A simple $$ equation: \n" ); document.write( "40x + 30(24-x) = 800 \n" ); document.write( ": \n" ); document.write( "40x + 720 - 30x = 800 \n" ); document.write( ": \n" ); document.write( "40x - 30x = 800 - 720 \n" ); document.write( ": \n" ); document.write( "10x = 80 \n" ); document.write( ": \n" ); document.write( "x = 8 tons of $40 rock \n" ); document.write( "then \n" ); document.write( "24 - 8 = 16 tons of $30 rock \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check solution: \n" ); document.write( "40(8) + 30(16) \n" ); document.write( "320 + 480 = 800 \n" ); document.write( " |