document.write( "Question 1106867: Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.\r
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document.write( "Write an inequality that represents Keith’s situation.\r
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document.write( "How many weeks can Keith withdraw money from his account?
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Algebra.Com's Answer #721879 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the inequality is 500 - 25x >= 200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this insures that he will have at least 200 at the end of the summer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 300 >= 25x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of that equation by 25 to get 300 / 25 >= x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 12 >= x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12 >= x means x <= 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 12, what is left in the account is 500 - 25 * 12 = 200.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 11, what is left in the account is 500 - 25 * 11 = 225.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 13, what is left in the account is 500 - 25 * 13 = 175.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the maximum number of weeks he can withdraw money from his account is 12.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |