document.write( "Question 1100352: An average bagel contains 30 mg of calcium and 2 mg of iron. One ounce of cream cheese contains 25 mg of calcium and 0.4 mg of iron. If Leyla wants to eat a combination of bagels and cream cheese that contains exactly 370 mg of calcium and 12 mg of iron, how much of each should she eat?\r
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document.write( "How many bagels does she need to eat?\r
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document.write( "How many ounces of cream cheese does she need? \n" );
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Algebra.Com's Answer #714814 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! 1) 30b+25c=370 \n" ); document.write( "2) 2b+.4c=12 \n" ); document.write( "Let's solve by elimination. \n" ); document.write( "multiply equation 2 by 15 \n" ); document.write( "30b+.4*15*c=12*15 \n" ); document.write( "simplify \n" ); document.write( "3) 30b+6c=180 \n" ); document.write( "subtract 3) from 1) \n" ); document.write( "30b+25c=370 \n" ); document.write( "30b+6c=180 \n" ); document.write( "solve for c \n" ); document.write( "19c=370-180 \n" ); document.write( "19c=190 \n" ); document.write( "c=10 oz cream cheese \n" ); document.write( "substitute c into equation 2) \n" ); document.write( "2b+.4*10=12 \n" ); document.write( "2b+4=12 \n" ); document.write( "2b=8 \n" ); document.write( "b=4 bagels\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |