document.write( "Question 1164906: At a recent concert, souvenirs were available for the following prices:
\n" ); document.write( "Sweatshirts for $65.00
\n" ); document.write( "Hats for $23.00
\n" ); document.write( "Key Rings for $4.00
\n" ); document.write( "During a recent period, 33 items were sold for $1,149.00. If the number of sweatshirts sold was twice the number of key rings sold, find the number of each item sold.
\n" ); document.write( "Let X represent the number of sweatshirts sold.
\n" ); document.write( "Let Y represent the number of hats sold.
\n" ); document.write( "Let Z represent the number of key rings sold
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Algebra.Com's Answer #789342 by ikleyn(52943) $\"\"$ $\"About$

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document.write( "I prefer to solve this problem using ONLY ONE unknown R which is the number of key rings.\r\n" );
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document.write( "Then the number of sweatshirts  is 2R, according to the condition, \r\n" );
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document.write( "and the number of hats is the rest  (33 - R - 2R) = (33-3R) items.\r\n" );
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document.write( "Then I write the money equation (also called \"the revenue equation\")\r\n" );
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document.write( "    4R + 65*(2R) + 23*(33-3R) = 1149 dollars.\r\n" );
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document.write( "Next, I simplify this equation step by step\r\n" );
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document.write( "    4R + 130R + 23*33 - 69R = 1149\r\n" );
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document.write( "    65R                     = 1149 - 23*33\r\n" );
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document.write( "    65R                     = 390\r\n" );
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document.write( "      R                     = 390/65  = 6.\r\n" );
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document.write( "ANSWER.  6 key rings;  2*6 = 12 Sweatshirts;  and the rest  (33-6 - 12) = 15 hats.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Using single unknown and single equation is the MAJOR LESSON for you to learn from my solution.\r
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\n" ); document.write( "\n" ); document.write( "There is no need to explain that obvious fact that it reduces the volume of calculations,
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Advanced word problems to solve using a single linear equation\r
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\n" ); document.write( "\n" ); document.write( "Your major task for looking into this lesson is to learn on HOW TO recognize such problems (solved in one unknown)
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