document.write( "Question 4882: Baker makes large and small cakes. Large cake requires 2 cups of frosting, while small requires 1 cup. How many of each size cake did she make if she made a total of 60 cakes and used 75 cups of frosting?\r
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document.write( "The answer is 15 large and 45 small. I cannot figure out how to set up problem.\r
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document.write( "Thank you
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Algebra.Com's Answer #2387 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = number of large cakes \n" ); document.write( "y= number of small cakes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y = 60 \n" ); document.write( "2x +y = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply both sides of first equation by -1, \n" ); document.write( "-x - y = -60 \n" ); document.write( "2x + y = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add equations: \n" ); document.write( "x = 15 large cakes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the total number of cakes is 60, that leaves 45 small cakes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: Total icing = 2(15) + 45 = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " |