document.write( "Question 1133140: Grace and Janice had an equal amount of money at first. After Grace spent $245 and Janice $74, Janice had 4 times as much money as Grace. How much money did each girl have at first? \n" ); document.write( "

Algebra.Com's Answer #750318 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "You can solve it mentally.\r\n" );
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document.write( "Let x be the amount which Grace still has after spending her 245 dollars.\r\n" );
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document.write( "Then the amount which Janice still has after spending her 74 dollars is 4x.\r\n" );
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document.write( "The difference, 4x - x = 3x, is equal to the difference 245 - 74, which is 171 dollar (note that you can calculate it mentally !).\r\n" );
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document.write( "Then x =  = 57 dollars (and you can calculate it mentally, too !)\r\n" );
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document.write( "Hence, Grace did have initially  245 + 57 = 302 dollars.     ANSWER\r\n" );
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document.write( "CHECK.  302 - 245 = 57;   302 - 74 = 228;     = 4.     ! Correct !\r\n" );
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