document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564756>Question 564756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The camera has 10.1 million pixels. The product of the pixels across the screen times the pixels up the screen gives the number of pixels the camera has. The ratio of pixels across the screen to pixels up the screen is 4 : 3. How many pixels does this camera have across the screen? Explain what you are calculating as you solve the problem. </SPAN>\n" );
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document.write( "The problem is not presented well, resulting in squabbling between two of the regular tutors at this forum.<br><BR>\n" );
document.write( "Given that the ratio of pixels horizontally and vertically across the screen is 4:3, the total number of pixels can't be exactly 10.1 million.  So there is some rounding being done somewhere.<br><BR>\n" );
document.write( "Assuming that the 4:3 ratio is exact, we need to find a solution in which the total number of pixels is APPROXIMATELY 10.1 million.<br><BR>\n" );
document.write( "4x = # of pixels across the screen<BR>\n" );
document.write( "3x = # of pixels top to bottom on the screen<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%283x%29=10100000 ALIGN=MIDDLE  ALT=\"%284x%29%283x%29=10100000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2=10100000 ALIGN=MIDDLE  ALT=\"12x%5E2=10100000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=10100000%2F12=841666.667 ALIGN=MIDDLE  ALT=\"x%5E2=10100000%2F12=841666.667\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "x = approximately=917.4239<br><BR>\n" );
document.write( "Now pixels come in whole numbers, so 4x and 3x must be whole numbers.<br><BR>\n" );
document.write( "If we use x=917, then the total number of pixels is 12x^2 = 10090668, which rounds to 10.1 million.<br><BR>\n" );
document.write( "If we use x=918, then the total number of pixels is 12x^2 = 10112688, which also rounds to 10.1 million.<br><BR>\n" );
document.write( "So the number of pixels across the screen COULD BE (see NOTE below) either 4x = 3668 or 4x = 3672.<br><BR>\n" );
document.write( "The answers 3669 and 3670 from the other two tutors are not correct, because neither of those numbers is a multiple of 4.<br><BR>\n" );
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document.write( "NOTE #1: The values x=916 and x=919, resulting in answers of 3664 and 3676 pixels across the screen, also yield total numbers of pixels that round to the given number of 10.1 million.<br><BR>\n" );
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document.write( "NOTE #2: And if the 4:3 ratio is NOT exact, then the presentation of the problem is even more unclear....<br>\r<BR>\n" );
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