document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195425>Question 1195425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> G=450-3.25t\r<BR>\n" );
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document.write( "Amaka planted tomatoes in her garden. The equation above relates the area G,<BR>\n" );
document.write( "in square feet, of the unplanted space in the garden to the number of minutes<BR>\n" );
document.write( "t after Amaka began planting.\r<BR>\n" );
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document.write( "Amaka’s friend Juanita began planting her 375-square-foot garden with tomatoes at the same time as Amaka began, but Juanita worked at one-half Amaka’s rate. If the area of unplanted space in each garden was the same m minutes after both Amaka and Juanita began planting, which of the following is closest to the value of m?<BR>\n" );
document.write( "A) 40<BR>\n" );
document.write( "B) 43<BR>\n" );
document.write( "C) 46<BR>\n" );
document.write( "D) 50 </SPAN>\n" );
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document.write( "G=450-3.25t<BR>\n" );
document.write( "Amaka planted tomatoes in her garden. The equation above relates the area G,<BR>\n" );
document.write( "in square feet, of the unplanted space in the garden to the number of minutes<BR>\n" );
document.write( "t after Amaka began planting.<BR>\n" );
document.write( "Amaka’s friend Juanita began planting her 375-square-foot garden with tomatoes <BR>\n" );
document.write( "at the same time as Amaka began, but Juanita worked at one-half Amaka’s rate. <BR>\n" );
document.write( "If the area of unplanted space in each garden was the same m minutes <BR>\n" );
document.write( "after both Amaka and Juanita began planting, which of the following is closest <BR>\n" );
document.write( "to the value of m?<BR>\n" );
document.write( "A) 40<BR>\n" );
document.write( "B) 43<BR>\n" );
document.write( "C) 46<BR>\n" );
document.write( "D) 50<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "From the given equation, Amaka's rate of work is planting 3.25 square feet per minute.\r\n" );
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document.write( "Hence, Juanita's rate of work is half of it, or 3.25/2 = 1.625 square feet per minute.\r\n" );
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document.write( "So, the remaining area for Juanita is this equation\r\n" );
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document.write( "    G = 375 - 1.625.\r\n" );
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document.write( "The problem asks to find minutes, when the remaining areas are the same\r\n" );
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document.write( "    450 - 3.25t = 375 - 1.625t.\r\n" );
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document.write( "Collect the terms wit \"t\" in the right side; collect the constant term in the left side\r\n" );
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document.write( "    450 - 375 = 3.25t - 1.625t\r\n" );
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document.write( "Simplify and find minutes\r\n" );
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document.write( "      75      = 1.625t\r\n" );
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document.write( "       t      = 75/1.625 = 46.15 minutes.\r\n" );
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document.write( "The closest number from the answer list is option (C) 46 minutes.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved and carefully/thoroughly explained.\r<BR>\n" );
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document.write( "Happy learning (!)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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