document.write( "Question 1188270: I cannot understand this answer, please help. Thank you.
\n" ); document.write( "Justin spent 3/10 of his money on 11 packs of cards. He would be able to
\n" ); document.write( "buy another 29 such packs of cards with the remaining amount of his
\n" ); document.write( "money and an additional $20.
\n" ); document.write( "(a) What was the price of 1 pack of cards?
\n" ); document.write( "(b) How much money did Justin have at first?
\n" ); document.write( "

Algebra.Com's Answer #819339 by ikleyn(52795)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Justin spent 3/10 of his money on 11 packs of cards. He would be able to
\n" ); document.write( "buy another 29 such packs of cards with the remaining amount of his
\n" ); document.write( "money and an additional $20.
\n" ); document.write( "(a) What was the price of 1 pack of cards?
\n" ); document.write( "(b) How much money did Justin have at first?
\n" ); document.write( "~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let x be the amount Justin had at first.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "He spent 0.3x to buy 11 packs of cards;  hence, each pack costs  \"%280.3%2Ax%29%2F11\"  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "After spending 3/10 of his money, he still have  0.7x of his money remainder.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next you write the equation as you read the problem\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.7x + 20 = \"29%2A%280.3x%2F11%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is your basic equation to solve and to find x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, multiply both sides by 110.  You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    77x + 2200 = 29*3x\r\n" );
document.write( "\r\n" );
document.write( "          2200 = 29*3x - 77x\r\n" );
document.write( "\r\n" );
document.write( "          2200 =    10x\r\n" );
document.write( "\r\n" );
document.write( "          x    = 2200/10 = 220  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, Justin had 220 dollars, at first.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3/10  of 220  dollars is  3*22 = 66  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since Justin bought 11 packs of cards for 66 dollars, each pack of cards costs 66/11 = 6 dollars.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, you can easily solve the problem using only one single equation for one single unknown,\r
\n" ); document.write( "\n" ); document.write( "as if you knows NOTHING about systems of equations.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );