document.write( "Question 1153552: Hi
\n" ); document.write( "This is exactly as it appears in the textbook. Josie needs a new computer and has saved $1500.00. She decided to wait for the end of year sale where she was promised a 15 percent discount and a further 3 percent off if she paid cash.\r
\n" ); document.write( "\n" ); document.write( "What is the maximum value to the dollar of a full priced computer she can afford if she pays cash.\r
\n" ); document.write( "\n" ); document.write( "What is the difference between the full price computer she can afford with cash and of a computer she paid by card.\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #775798 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The problem asks what the maximum list price of the computer can be if it costs $1500 after a discount of 18%.

\n" ); document.write( "\"x+-+0.18x+%3C=+1500\"
\n" ); document.write( "\"0.82x+%3C=+1500\"
\n" ); document.write( "\"x+%3C=+1500%2F0.82\" = $1829 to the nearest dollar

\n" ); document.write( "If she pays with a card so that the discount is only 15%, then....

\n" ); document.write( "\"0.85x+%3C=+1500\"
\n" ); document.write( "\"x+%3C=+1500%2F0.85\" = $1765 to the nearest dollar

\n" ); document.write( "The difference between those two is $64.

\n" ); document.write( "-----------------------------------------------------

\n" ); document.write( "NOTE: I interpret \"a further 3 percent discount if she pays cash\" to mean that the total discount is 15%+3% = 18%.

\n" ); document.write( "A different possible interpretation is that the 3% discount is on the price that has already been discounted by 15%.

\n" ); document.write( "With that interpretation, the total discount is 17.55% instead of 18% -- leading of course to slightly different answers to both questions.

\n" ); document.write( "
\n" ); document.write( "
\n" );