document.write( "Question 510357: a boat owner mixes together oil and gasoline to make 12 gallons of fuel for 8$ per gallon. Oil cost $15 per gallon and gasoline cost $3 per gallon. hOW MANY GALLONS OF EACH SHOULD USED???
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Algebra.Com's Answer #341811 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Oil = x gallons \n" ); document.write( "Gasoline = y gallons \n" ); document.write( "Total cost of oil = 15x \n" ); document.write( "Total cost of Gasoline = 3y \n" ); document.write( "================================================ \n" ); document.write( "Given \n" ); document.write( "Oil Quantity + Gasoline Quantity = Mixture Quantity \n" ); document.write( "x+y=12 \n" ); document.write( "x=12-y ...............(1) \n" ); document.write( "===================================================== \n" ); document.write( "Total Cost of Oil + Total cost of Gasoline = Total Cost of Mixture \n" ); document.write( "15x+3y=12*8 \n" ); document.write( "15x+3y=96 ..............(2) \n" ); document.write( "===================================================== \n" ); document.write( "Put the value of x from (1) to (2)\r \n" ); document.write( "\n" ); document.write( "15(12-y)+3y=96 \n" ); document.write( "180-15y+3y=96 \n" ); document.write( "-12y=96-180 \n" ); document.write( "-12y=-84 \n" ); document.write( "-12y/-12=-84/-12 \n" ); document.write( "-12y/-12=-84/-12 \n" ); document.write( "y=7\r \n" ); document.write( "\n" ); document.write( "Put the value of x in (1) \n" ); document.write( "x=12-y \n" ); document.write( "x=12-7 \n" ); document.write( "x=5 \n" ); document.write( "====================================== \n" ); document.write( "Oil = x = 5 gallons \n" ); document.write( "Gasoline = y = 7 gallons \n" ); document.write( "========================================= \n" ); document.write( "Check \n" ); document.write( "5*15 + 7*3 = 12*8 \n" ); document.write( "75+21=96 \n" ); document.write( "96=96 \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |