document.write( "Question 1106414: A campus club held a bake sale as a fund-raiser, selling coffee, muffins and bacon-and-egg sandwiches. The club members charge led $1 for a cup of coffee, $4 for a muffin and $5 for a bacon-and-egg sandwich. They sold a total of 50 items, raising $133. If the club members sold 2 more muffins than cups of coffee, how many bacon-and-egg sandwiches did they sell? \n" ); document.write( "
Algebra.Com's Answer #721386 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A campus club held a bake sale as a fund-raiser, selling coffee, muffins and bacon-and-egg sandwiches. The club members charge led $1 for a cup of coffee, $4 for a muffin and $5 for a bacon-and-egg sandwich. They sold a total of 50 items, raising $133. If the club members sold 2 more muffins than cups of coffee, how many bacon-and-egg sandwiches did they sell? \n" ); document.write( "--------------------- \n" ); document.write( "Quantity Eq:: c + m + b = 50 items \n" ); document.write( "Value Eq:::: c + 4m + 5b = 133 dollars \n" ); document.write( "Quantity Eq:: m = c + 2 \n" ); document.write( "---------------------------- \n" ); document.write( "Since c = m -2 substitute for \"c\":: \n" ); document.write( "m-2 + m + b = 50 \n" ); document.write( "m-2 + 4m+5b = 133 \n" ); document.write( "-------------------------- \n" ); document.write( "2m + b = 52 \n" ); document.write( "5m + 5b = 135 \n" ); document.write( "------- \n" ); document.write( "2m + b = 52 \n" ); document.write( "m + b = 27 \n" ); document.write( "-------- \n" ); document.write( "Subtract and solve for \"m\" \n" ); document.write( "m = 25 # of muffins sold \n" ); document.write( "c = m-2 = 23 (# of cups of coffee sold) \n" ); document.write( "b = 27-m = 4 (# of bacon-eqq-cheese sold) \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------- \n" ); document.write( " |