document.write( "Question 495481: Can you please help me with this question? This question is for h.w that's due tomorrow and I really need help. Please do not just answer the question but show how you got to the answer and all the work involved in it. Thanks so much! \r
\n" ); document.write( "\n" ); document.write( "Problem: Suppose you own a card shop. You buy one line of cards at a rate of 4 cards for $5. You plan to sell the cards at a rate of 3 cards for $5. How many cards must you sell in order to make a profit of $100? \r
\n" ); document.write( "\n" ); document.write( "Please solve with all the work as soon as possible! Thanks so much! :)
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Algebra.Com's Answer #336093 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let the number of cards you need to sell be x.
\n" ); document.write( "Recall that Profit (P) = Selling price (S) - Cost (C).
\n" ); document.write( "P = S-C
\n" ); document.write( "The profit is to be P = $100.00
\n" ); document.write( "The selling price \"S+=+%28x%29%285%2F3%29\" That is x times $5.00 per 3 cards.
\n" ); document.write( "The cost \"C+=+%28x%29%285%2F4%29\" That is x times $5.00 per 4 cards.
\n" ); document.write( "So the equation would be:
\n" ); document.write( "\"100+=+%285%2F3%29x+-+%285%2F4%29x\" Solve for x.
\n" ); document.write( "\"100+=+%2820x-15x%29%2F12\" Multiply both sides by 12.
\n" ); document.write( "\"1200+=+5x\" Divide by 5.
\n" ); document.write( "\"240+=+x\"
\n" ); document.write( "You would have to sell 240 cards to make a profit of $100.00
\n" ); document.write( "Check:
\n" ); document.write( "Selling price of 240 cards at 3 cards for $5.00 is: \"%28240%2F3%29%285%29+=+80%285%29\"=\"400.00\" and...
\n" ); document.write( "The cost of 240 cards at $5.00 for 4 cards is \"%28240%2F4%29%285%29+=+60%285%29\"=\"300.00\"
\n" ); document.write( "\"P+=+S-C\"
\n" ); document.write( "\"P+=+400-300\"
\n" ); document.write( "\"P+=+100\"\r
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