document.write( "Question 1167781: A clothes store sells boots, shoes and shirts. Each day, on
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document.write( "average, three times as many shoes are sold as boots, and
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document.write( "eight times as many shirts as shoes. The price of shoes is
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document.write( "identical to that of boots - NIS 250, and the price of shirts is
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document.write( "half of that price. In the last month, the store was open 20
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document.write( "days, and its total income was NIS 480,000. How many shirts,
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document.write( "on average, were sold each day in the last month?\r
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document.write( "(NIS is Israeli Currency) I don't understand how to make this into an algebraic
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document.write( "equation. Please walk me through step by step. \n" );
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Algebra.Com's Answer #792391 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = the number of boots sold each day.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since 3 times as many shoes as boots are sold each day, then ... \n" ); document.write( "3 * x = the number of shoes sold each day.\r \n" ); document.write( "\n" ); document.write( "since 3 times as many shirts as shoes are sold each day, then ... \n" ); document.write( "8 * 3 * x = 24 * x shirts are sold each day.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to summarize, each day on average .....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x number of boots are sold. \n" ); document.write( "3 * x number of shoes are sold. \n" ); document.write( "24 * x number of shirts are sold.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since each pair of boots sells for 250 and each pair of shoes sells for 250 and each shirt sells for 125, then, for each day on average, .....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "boot revenue = 250 * x \n" ); document.write( "shoe revenue = 3 * 250 * x = 750 * x \n" ); document.write( "shirt revenue = 24 * 125 * x = 3000 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply by 20, then, over a 20 day period, .....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "boot revenue = 20 * 250 * x = 5000 * x \n" ); document.write( "shoe revenue = 20 * 750 * x = 15000 * x \n" ); document.write( "shirt revenue = 20 * 24 * 125 * x = 60,000 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total revenue over a 20 day period is equal to 80,000 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since total revenue over a 20 day period = 480,000, then solve for x to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 480,000 / 80,000 = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 6, ....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 6 boots are sold each day on average. \n" ); document.write( "3 * 6 = 18 shoes are sold each day on average. \n" ); document.write( "24 * 6 = 144 shirts are sold each day on average.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "144 shirts per day on average should be your solution, but that solution needs to be confirmed to make sure it's accurate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "over a 20 day period, .....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20 * 6 = 120 boots are sold. \n" ); document.write( "20 * 18 = 360 shoes are sold. \n" ); document.write( "20 * 144 = 2880 shirts are sold.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total revenue over the 20 day period is .....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "120 * 250 + 360 * 250 + 144 * 125 = 480,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "value of 6 for x is confirmed to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "last month, 144 shirts were sold each day on average.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |