document.write( "Question 1206221: Hi
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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 \n" );
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Algebra.Com's Answer #843498 by Theo(13342)![]() ![]() You can put this solution on YOUR website! T = total \n" ); document.write( "G = green \n" ); document.write( "B = blue \n" ); document.write( "P = pink\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T = 416 \n" ); document.write( "P = 84 \n" ); document.write( "G = 156 \n" ); document.write( "B = 176\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since T = G + B + P, then ..... \n" ); document.write( "T = 156 + 176 + 84 = 416.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that there were 176 blue buttons. \n" ); document.write( " \n" ); document.write( " |