document.write( "Question 174527: 3240 people at a london airport were asked which continent they would most like to visit for a holiday.all 3240 answered with one of the four continents: africa,america,asia or australia.the pie chart in fig.1 was drawn from their answers[america=150 degree,afica=90 degree]
\n" ); document.write( "a)calculate the number of people who would most like to visit america.
\n" ); document.write( "given that the ratio of the number of people who would most like to visit asia to the number of people who would like to visit australia is 3:2 .
\n" ); document.write( "b)calculate the number of people who would most like to visit asia. \n" ); document.write( "

Algebra.Com's Answer #129532 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "We start with a circle, then we draw in the\r\n" );
document.write( "150° America \"piece of pie\"\r\n" );
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document.write( "Now we calculate the number who would like\r\n" );
document.write( "to visit America with ratio-and-proportion\r\n" );
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document.write( "Let N represent the number who would like to visit\r\n" );
document.write( "America:\r\n" );
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document.write( "Then N is to the total 3240 people as the 150°-angle\r\n" );
document.write( "is to the total 360 degrees in the whole circle.\r\n" );
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document.write( "Then we draw in the 90° Africa \"piece of pie\"\r\n" );
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document.write( "Now we calculate the number who would like\r\n" );
document.write( "to visit Africa with ratio-and-proportion\r\n" );
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document.write( "Let N represent the number who would like to visit\r\n" );
document.write( "Africa:\r\n" );
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document.write( "Then N is to the total 3240 people as the 90°-angle\r\n" );
document.write( "is to the total 360 degrees in the whole circle.\r\n" );
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document.write( "Now we have accounted for 150°+90° or 240° of the 360° in the\r\n" );
document.write( "whole circle.  Therefore if we subtract 240° from 360°, we get\r\n" );
document.write( "120° for both the Asia and Australia pieces of pie together. \r\n" );
document.write( "So we will let x° be the number of degrees for the Asia piece\r\n" );
document.write( "of pie, and then subtract x° from 120° to get 120°-x° for the \r\n" );
document.write( "Australia piece of pie.\r\n" );
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document.write( "We could go straight for the answer here, but so we \r\n" );
document.write( "can draw the pie graph accurately we calculate the angle\r\n" );
document.write( "of the Asia piece of pie with ratio-and-proportion:\r\n" );
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document.write( "The angle of the Asia piece of pie is to the angle of \r\n" );
document.write( "the Australia piece of pie as 3 is to 2  \r\n" );
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document.write( "Therefore the angle of the Australia piece of\r\n" );
document.write( "pie is 120°-72° or 48°\r\n" );
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document.write( "Let N represent the number who would like to visit\r\n" );
document.write( "Asia:\r\n" );
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document.write( "Then N is to the total 3240 people as the 72°-angle\r\n" );
document.write( "is to the total 360 degrees in the whole circle.\r\n" );
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document.write( "Let N represent the number who would like to visit\r\n" );
document.write( "Australia:\r\n" );
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document.write( "Then N is to the total 3240 people as the 48°-angle\r\n" );
document.write( "is to the total 360 degrees in the whole circle.\r\n" );
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document.write( "So that's the answer and the final pie graph looks like this\r\n" );
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document.write( "Edwin

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