document.write( "Question 819489: Sammy decided to go Christmas shopping at the mall. He had won a pass that allowed him to take an additional 20% off all final price purchases at any store, which he used for each purchase. First Sammy went to Game Stop to by his friend a video game. Game stop was having a 35% off store-wide sale. Then, he headed off to Payless to take advantage of their 25% off everything sale, to buy a pair of shoes. His last stop was at Moosejaw to buy a pullover, because they were having a one-day sale where everything was 15% off. As Sammy was leaving the mall, he stopped at a gift wrapping booth. They were charging $2.75(tax-included) for each gift wrapped. Sammy had all three gifts wrapped.
\n" ); document.write( "At the end of the month Sammy opened his credit card statement and noticed the following three charges:
\n" ); document.write( "Game Stop: $35.28
\n" ); document.write( "Payless: $55.72
\n" ); document.write( "Moosejaw: $96.89
\n" ); document.write( "What was the original price of each item AND what was the average dollar amount Sammy spent on each purchase?
\n" ); document.write( "Using MICHIGAN sales tax! 6%
\n" ); document.write( "What I already solved:
\n" ); document.write( "1. Work backwards
\n" ); document.write( "2. Undo the tax
\n" ); document.write( "3. $55.72 - $3.15 (tax)= $52.57
\n" ); document.write( " $35.28 - $2.54 (tax)= $32.74
\n" ); document.write( " $96.89 - $5.48 (tax)= $91.41
\n" ); document.write( "4. Undo the percent off
\n" ); document.write( "5. Total of 45% saved at Payless
\n" ); document.write( " Total of 55% saved at Game Stop
\n" ); document.write( " Total of 35% saved at Moosejaw
\n" ); document.write( "*This is the part of the process I don't understand \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #493199 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Sammy decided to go Christmas shopping at the mall. He had won a pass that allowed him to take an additional 20% off all final price purchases at any store, which he used for each purchase. First Sammy went to Game Stop to by his friend a video game. Game stop was having a 35% off store-wide sale. Then, he headed off to Payless to take advantage of their 25% off everything sale, to buy a pair of shoes. His last stop was at Moosejaw to buy a pullover, because they were having a one-day sale where everything was 15% off. As Sammy was leaving the mall, he stopped at a gift wrapping booth. They were charging $2.75(tax-included) for each gift wrapped. Sammy had all three gifts wrapped.
\n" ); document.write( "At the end of the month Sammy opened his credit card statement and noticed the following three charges:
\n" ); document.write( "Game Stop: $35.28
\n" ); document.write( "Payless: $55.72
\n" ); document.write( "Moosejaw: $96.89
\n" ); document.write( "What was the original price of each item AND what was the average dollar amount Sammy spent on each purchase?
\n" ); document.write( "Using MICHIGAN sales tax! 6%
\n" ); document.write( "What I already solved:
\n" ); document.write( "1. Work backwards
\n" ); document.write( "2. Undo the tax
\n" ); document.write( "3. $55.72 - $3.15 (tax)= $52.57
\n" ); document.write( " $35.28 - $2.54 (tax)= $32.74
\n" ); document.write( " $96.89 - $5.48 (tax)= $91.41
\n" ); document.write( "4. Undo the percent off
\n" ); document.write( "5. Total of 45% saved at Payless
\n" ); document.write( " Total of 55% saved at Game Stop
\n" ); document.write( " Total of 35% saved at Moosejaw
\n" ); document.write( "*This is the part of the process I don't understand \r
\n" ); document.write( "\n" ); document.write( "

\n" );
document.write( "Let original price of video game be V
\n" );
document.write( "Since there was a 35% sales discount, the video's price was marked down to 65% of the original price, or .65
\n" );
document.write( "Since he had an additional discount of 20%, then he only paid 80% of the marked down price, or .8(.65), or
\n" );
document.write( ".52, or 52% of the original price for the video.
\n" );
document.write( "Adding 6% sales tax, the percentage of the original price he paid was: 1.06(.52), or .5512, or 55.12%.
\n" );
document.write( "Since he paid a total of $35.28 for the video, tax included, then we can say that:
\n" );
document.write( "\".5512%2F1+=+35.28%2FV\"
\n" );
document.write( ".5512V = 35.28 ------ Cross-multiplying
\n" );
document.write( "V, or original price of video = \"35.28%2F.5512\", or 64.00580552 ≈ $\"highlight_green%2864.01%29\"\r
\n" );
document.write( "\n" );
document.write( "Let original price of shoes be S
\n" );
document.write( "Since there was a 25% sales discount, the shoes' price was marked down to 75% of its original price, or .75
\n" );
document.write( "Since he had an additional discount of 20%, then he only paid 80% of the marked down price, or .8(.75), or
\n" );
document.write( ".6, or 60% of the original price for the shoes.
\n" );
document.write( "Adding 6% sales tax, the percentage of the original price he paid was: 1.06(.6), or .636.
\n" );
document.write( "Since he paid a total of $55.72 for the shoes, tax included, then we can say that:
\n" );
document.write( "\".636%2F1+=+55.72%2FS\"
\n" );
document.write( ".636S = 55.72 ------ Cross-multiplying
\n" );
document.write( "S, or original price of shoes = \"55.72%2F.636\", or $\"highlight_green%2887.61%29\"\r
\n" );
document.write( "\n" );
document.write( "Let original price of pullover be P
\n" );
document.write( "Since there was a 15% sales discount, the pullover's price was marked down to 85% of its original price, or .85
\n" );
document.write( "Since he had an additional discount of 20%, then he only paid 80% of the marked down price, or .8(.85), or
\n" );
document.write( ".68, or 68% of the original price for the pullover.
\n" );
document.write( "Adding 6% sales tax, the percentage of the original price he paid was: 1.06(.68), or .7208.
\n" );
document.write( "Since he paid a total of $96.89 for the pullover, tax included, then we can say that:
\n" );
document.write( "\".7208%2F1+=+96.89%2FP\"
\n" );
document.write( ".7208P = 96.89 ------ Cross-multiplying
\n" );
document.write( "P, or original price of pullover = \"96.89%2F.7208\", or $\"highlight_green%28134.42%29\"\r
\n" );
document.write( "\n" );
document.write( "As the wrapping wasn't done at any of the 3 stores, the purchases remain the same.\r
\n" );
document.write( "\n" );
document.write( "Average dollar amount spent: \"%2835.28+%2B+55.72+%2B+96.89+%2B+3%282.75%29%29%2F3\", or $\"%28187.89+%2B+8.25%29%2F3\", or \"196.14%2F3\", or $\"highlight_green%2865.38%29\"
\n" );
document.write( "You can do the check!! \r
\n" );
document.write( "\n" );
document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
\n" );
document.write( "Further help is available, online or in-person,for a fee, obviously. \r
\n" );
document.write( "\n" );
document.write( "For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams, 
\n" );
document.write( "GENERAL MATH QUESTIONS, MATH HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
\n" );
document.write( "Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE, GRE, CLEP,
\n" );
document.write( "and the GED, you can visit: http://asvabstudyzone.freeforums.net/. \n" );
document.write( "
\n" );