document.write( "Question 1172480: Hi
\n" ); document.write( "Joshua and his sister spent $96 in total. His sister spent 40% less than him. How much did he spend.
\n" ); document.write( "My solution was as follows
\n" ); document.write( "Joshua = 1.4x
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\n" ); document.write( "\n" ); document.write( "2.4x = 96 x=40 therefore Joshua spent 56 dollars . The textbook says 60 dollars.
\n" ); document.write( "Who is correct. Thanks \n" ); document.write( "

Algebra.Com's Answer #797519 by ikleyn(52776) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x be the amount Joshua spent.\r\n" );
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document.write( "Then his sister spent 100% - 40% = 60% of x,  or  0.6x.\r\n" );
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document.write( "The equation for the total is\r\n" );
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document.write( "    x + 0.6x = 96\r\n" );
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document.write( "    1.6x     = 96\r\n" );
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document.write( "       x     = 96/1.6 = 60.\r\n" );
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document.write( "ANSWER.  Joshua spent 60 dollars.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (correctly).\r
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\n" ); document.write( "\n" ); document.write( "Your solution is INCORRECT. The textbook is RIGHT.\r
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document.write( "    Why and where is your solution incorrect ?\r\n" );
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document.write( "    When you take x = what the sister spent, you INCORRECTLY assume/conclude that Joshua spent 1.4x.\r\n" );
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document.write( "    The condition says that  THE SISTER SPENT 40% LESS THAN JOHUA.\r\n" );
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document.write( "    It DOES NOT SAY that JOHUA SPENT 40% MORE THAN THE SISTER.\r\n" );
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document.write( "    These are two DIFFERENT statements: my interpretation IS CORRECT, while yours IS NOT.\r\n" );
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document.write( "    When you solve such problems, be VERY attentive and pay SPECIAL attention to identify WHAT IS THE BASE for comparison (!)\r\n" );
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document.write( "    From the context, in this problem the  JOSHUA' SPENT AMOUNT  is the base for the comparison - NOT the SISTER's amount (!)\r\n" );
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\n" ); document.write( "\n" ); document.write( "Is everything clear to you in my solution/explanation ?\r
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\n" ); document.write( "\n" ); document.write( "If \"YES\", then do not forget to post your \"THANKS\" for my teaching . . . \r
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