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Mother made cupcakes for the church picnic.\"If I had made 6 more chocolate cupcakes, I would have as many chocolate as I do white and pepermint combined,\"said Mother.\"I have 4 more white than peppermint.\"Altogether she baked 50 cupcakes.How many of each kind did she have?
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\n" ); document.write( "Let c = no. of chocolate c.c.
\n" ); document.write( "Let w = no. of whites
\n" ); document.write( "Let p = no. of peppermints
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\n" ); document.write( "Write an equation from the statement:
\n" ); document.write( "\"If I had made 6 more chocolate cupcakes, I would have as many chocolate as I do white and pepermint combined,\"
\n" ); document.write( "c + 6 = w + p
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\n" ); document.write( "\"I have 4 more white than peppermint.\"
\n" ); document.write( "w = p + 4
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\n" ); document.write( "Altogether she baked 50 cupcakes.
\n" ); document.write( "c + w + p = 50
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\n" ); document.write( "How many of each kind did she have?
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\n" ); document.write( "Take the 1st equation and replace w with (P+4)
\n" ); document.write( "c + 6 = (p+4) + p
\n" ); document.write( "Simplify
\n" ); document.write( "c + 6 = 2p + 4
\n" ); document.write( "c = 2p + 4 - 6
\n" ); document.write( "c = 2p - 2
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\n" ); document.write( "In the 3rd equation, replace c with(2p-2) and replace w with (p+4); find p
\n" ); document.write( "(2p-2) + (p+4) + p = 50
\n" ); document.write( "2p + p + p -2 + 4 = 50
\n" ); document.write( "4p + 2 = 50
\n" ); document.write( "4p = 50 - 2
\n" ); document.write( "p = 48/4
\n" ); document.write( "p = 12 peppermint c.c.
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\n" ); document.write( "You can find the other amts using the equations we have here
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\n" ); document.write( "Check solutions in the 3rd equation \n" ); document.write( "