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 #843498 by Theo(13342)\"\" \"About 
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T = total
\n" ); document.write( "G = green
\n" ); document.write( "B = blue
\n" ); document.write( "P = pink\r
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\n" ); document.write( "\n" ); document.write( "T = G + B + P
\n" ); document.write( "P = 84 so .....
\n" ); document.write( "T = G + B + 84
\n" ); document.write( "3/8 of the buttons are green, so .....
\n" ); document.write( "T = 3/8 * T + B + 84
\n" ); document.write( "there are 20 more blue buttons than green, so .....
\n" ); document.write( "T = 3/8 * T + 3/8 * T + 20 + 84
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "T = 6/8 * T + 104
\n" ); document.write( "subtract 6/8 * T from both sides of the equation to get:
\n" ); document.write( "2/8 * T = 104
\n" ); document.write( "solve for T to get:
\n" ); document.write( "T = 104 * 8/2 = 416\r
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\n" ); document.write( "\n" ); document.write( "since T = 416 and P = 84, then .....
\n" ); document.write( "416 = G + B + 84
\n" ); document.write( "subtract 84 from both sides of the equation to get:
\n" ); document.write( "332 = G + B
\n" ); document.write( "since G = 3/8 * T, then .....
\n" ); document.write( "G = 3/8 * 416 = 156
\n" ); document.write( "since B = G + 20, then .....
\n" ); document.write( "B = 176\r
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\n" ); document.write( "\n" ); document.write( "you have:\r
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\n" ); document.write( "\n" ); document.write( "T = 416
\n" ); document.write( "P = 84
\n" ); document.write( "G = 156
\n" ); document.write( "B = 176\r
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\n" ); document.write( "\n" ); document.write( "since T = G + B + P, then .....
\n" ); document.write( "T = 156 + 176 + 84 = 416.\r
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\n" ); document.write( "\n" ); document.write( "your solution is that there were 176 blue buttons.
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