document.write( "Question 1206221: Hi
\n" ); document.write( "3/8 of the buttons are green. There were 20 more blue buttons than green. The remaining 84 buttons were pink. How many buttons were blue
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Algebra.Com's Answer #843503 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "3/8 of the buttons are green. There were 20 more blue buttons than green.
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\n" ); document.write( "\n" ); document.write( "        It can be easily solved using only ONE unknown and one equation.
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document.write( "Let x be the total number of buttons.\r\n" );
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document.write( "Then  \"%283%2F8%29x\"  buttons are green;  \"%283%2F8%29x%2B20\"  buttons are blue \r\n" );
document.write( "and remaining 84 buttons are pink.  \r\n" );
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document.write( "So, we can write this equation for total\r\n" );
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document.write( "    \"%283%2F8%29x\" + \"%283%2F8%29x%2B20\" + 84 = x.\r\n" );
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document.write( "At this point, the setup is complete.\r\n" );
document.write( "To solve equation, multiply both sides by 8\r\n" );
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document.write( "    3x + 3x + 160 + 672 = 8x\r\n" );
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document.write( "    160 + 672 = 8x - 3x - 3x \r\n" );
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document.write( "       832    =      2x\r\n" );
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document.write( "       x      =    832/2 = 416.\r\n" );
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document.write( "The number of blue buttons was  \"%283%2F8%29%2A416\" + 20 = 176.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, using only one unknown.\r
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