document.write( "Question 1162243: Hello:\r
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\n" ); document.write( "Joe has $50 in his lunch account and spends $3 each day. Renee has $30 in her lunch account and spends $2 each day. After how many days will the balance in Joe’s account be more than the balance in Renee’s account.\r
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\n" ); document.write( "Joe has $50 in his lunch account and spends $3 each day. Renee has $30 in her lunch account and spends $2 each day. After how many days will the balance in Joe’s account be less than the balance in Renee’s account?\r
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Algebra.Com's Answer #785992 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            This problem is  VERY  UNUSUAL  and  OUTSTANDING   (!)\r
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\n" ); document.write( "\n" ); document.write( "            I solved only first problem,  in order for you could concentrate/focus your attention   (!)\r
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document.write( "Joe's balance after d days is  \r\n" );
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document.write( "    J(d) = 50 - 3d  dollars, under the condition d <= 16.\r\n" );
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document.write( "    Notice that at the 17-th day, Joe will not be able to spend 3 dollars for lunch (!)\r\n" );
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document.write( "Renee's balance after d days is\r\n" );
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document.write( "     R(d) = 30- 2d,  under the condition d <= 15.\r\n" );
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document.write( "     Notice that at the 16-th day, Renee will not be able to spend 2 dollars for lunch (!)\r\n" );
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document.write( "The problem asks to find the number of days  \"highlight%28highlight%28d%29%29\"  from the COMPOUND inequalities\r\n" );
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document.write( "    J(d) > R(d)  AND  d <= 15,  when both functions J(d) and R(d) are defined and make sense.\r\n" );
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document.write( "    |   The setup is just completed.  |\r\n" );
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document.write( "Now you should solve this inequality  J(d) > R(d),  which is  50 - 3d > 30 - 2d.  \r\n" );
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document.write( "For it, collect the terms containing \"d\" on the right side; \r\n" );
document.write( "collect constant terms on the left side\r\n" );
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document.write( "    50 - 30 > 3d - 2d\r\n" );
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document.write( "    20      > d\r\n" );
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document.write( "which is the same as d < 20.\r\n" );
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document.write( "But the function R(d) is not defined after d = 15;  so the answer to the problem's question is\r\n" );
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document.write( "ANSWER.  During the entire time period  1 <= d <= 15, when Renee still has money to buy her lunch,\r\n" );
document.write( "         Joe will have MORE money in his balance than Renee.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Try to solve the second problem by the same way.\r
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\n" ); document.write( "\n" ); document.write( "Solving inequalities is critically important skills for beginner student.\r
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Solving simple and simplest linear inequalities \r
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\n" ); document.write( "\n" ); document.write( "Consider this lesson as your textbook,  guidebook,  tutorials and  (free of charge)  home teacher.\r
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