document.write( "Question 1209628: Please help me answer this question\r
\n" ); document.write( "\n" ); document.write( "The cost of petrol rises by 2cents a litre.
\n" ); document.write( "Last week a man bought 20 litres at the old price
\n" ); document.write( "This week he bought 10 litres at the new price
\n" ); document.write( "All together it costed $9.20
\n" ); document.write( "What was the old price for 1 litre
\n" ); document.write( "Let x be the old price\r
\n" ); document.write( "\n" ); document.write( "Solution\r
\n" ); document.write( "\n" ); document.write( "I tried saying 20 times x plus 10 times x plus two is equal to 920cents
\n" ); document.write( "Then I got 20x plus 10x plus 20 is equal to 920 cents
\n" ); document.write( "Then I said 10x plus 20x is equal to 30x = 920 cents minus 20
\n" ); document.write( "Then I sais 30x + 900 divided by 30\r
\n" ); document.write( "\n" ); document.write( "I then got the answer x = 0,30 cents
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #849709 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Please help me answer this question\r
\n" ); document.write( "\n" ); document.write( "The cost of petrol rises by 2cents a litre.
\n" ); document.write( "Last week a man bought 20 litres at the old price
\n" ); document.write( "This week he bought 10 litres at the new price
\n" ); document.write( "All together it costed $9.20
\n" ); document.write( "What was the old price for 1 litre
\n" ); document.write( "Let x be the old price\r
\n" ); document.write( "\n" ); document.write( "Solution\r
\n" ); document.write( "\n" ); document.write( "I tried saying 20 times x plus 10 times x plus two is equal to 920cents
\n" ); document.write( "Then I got 20x plus 10x plus 20 is equal to 920 cents
\n" ); document.write( "Then I said 10x plus 20x is equal to 30x = 920 cents minus 20
\n" ); document.write( "Then I sais 30x + 900 divided by 30\r
\n" ); document.write( "\n" ); document.write( "I then got the answer x = 0,30 cents
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let x be the old price per liter (x dollars per liter).\r\n" );
document.write( "\r\n" );
document.write( "Then the new price is (x + 0.02) dollars per liter.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write an equation as you read the problem\r\n" );
document.write( "\r\n" );
document.write( "    20x + 10*(x+0.02) = 9.20  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    20x + 10x + 0.20 = 9.20\r\n" );
document.write( "\r\n" );
document.write( "        30x          = 9.20 - 0.20\r\n" );
document.write( "\r\n" );
document.write( "        30x          =    9.00\r\n" );
document.write( "\r\n" );
document.write( "          x          =    9.00/30\r\n" );
document.write( "\r\n" );
document.write( "          x          =    0.30\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The old price was 0.30 dollars per liter.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "///////////////////////////////////\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The other person uses practically the same method of creating system of equations,
\n" ); document.write( "as people do it for centuries, but introduces his own name for it as \"weighted average approach\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As far as I know, nobody and nowhere uses this term in solving/treating such problems when teaching.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In addition, this terminology \"weighted average approach\" is factually incorrect/irrelevant,
\n" ); document.write( "since in this consideration, there is no weighted average, at all: there is weighted sum, instead.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, I do not see any reason for a reader to learn from this author,
\n" ); document.write( "stumbling over unnecessary and incorrect terminology that the author introduces without any need.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I'd advise to a reader to avoid such tutors and/or teachers, who earn their popularity
\n" ); document.write( "by introducing their own terms for well known methods and conceptions,
\n" ); document.write( "and then sell it as their innovations. It is a form of deceiving readers.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In addition, he uses unreadable format - to convince a reader that he is so much original ?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Web-site, which this person gives for contacts, does not work.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In short, total and fatal absurd.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );