document.write( "Question 941966: Ming and Carlos are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough. Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364. Carlos sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93. Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough.
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Algebra.Com's Answer #574227 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Ming and Carlos are selling cookie dough for a school fundraiser. \n" ); document.write( " Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough. \n" ); document.write( " Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364. \n" ); document.write( " Carlos sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93. \n" ); document.write( " Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough. \n" ); document.write( ": \n" ); document.write( "let c = cost of chip cookies \n" ); document.write( "let g = cost of ginger cookies \n" ); document.write( ": \n" ); document.write( "Ming's sales: 8c + 12g = 364 \n" ); document.write( "Carl's sales: 1c + 4g = 93 \n" ); document.write( ": \n" ); document.write( "Using the 2nd equation for substitution in the 1st equation: \n" ); document.write( "c + 4g = 93 \n" ); document.write( "c = (93-4g) \n" ); document.write( ": \n" ); document.write( "8(93-4g) + 12g = 364 \n" ); document.write( "744 - 32g + 12g = 364 \n" ); document.write( "-32g + 12g = 364 - 744 \n" ); document.write( "-20g = -380 \n" ); document.write( "g = -380/-20 \n" ); document.write( "g = +$19 for the ginger cookie dough \n" ); document.write( "then \n" ); document.write( "c = 93 - 4(19) \n" ); document.write( "c = $17 for the chip dough \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "YOu can confirm this for yourself with these values for c and g in the original equations \n" ); document.write( " \n" ); document.write( " |