document.write( "Question 137791: I need help on this problem:\r
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document.write( "At a grocery store, a customer pays a total of $11.10 for 1.6 pounds of chicken and 2 pounds of fish. Another customer pays a total of $12.15 for 2.4 pounds of chicken and 1.8 pounds of fish. How much do 2 pounds of chicken and 2 pounds of fish cost. Explain\r
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Algebra.Com's Answer #100775 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a grocery store, a customer pays a total of $11.10 for 1.6 pounds of chicken and 2 pounds of fish. Another customer pays a total of $12.15 for 2.4 pounds of chicken and 1.8 pounds of fish. How much do 2 pounds of chicken and 2 pounds of fish cost. Explain \n" ); document.write( ": \n" ); document.write( "Let x = price per pound for chicken \n" ); document.write( "Let y = price per pound for fish \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"customer pays a total of $11.10 for 1.6 pounds of chicken and 2 pounds of fish.\" \n" ); document.write( "1.6x + 2y = 11.10 \n" ); document.write( "2y = 11.10 - 1.6x \n" ); document.write( ": \n" ); document.write( "Divide equation by 2: \n" ); document.write( "y = (5.55 - .8x); use this for substitution \n" ); document.write( ": \n" ); document.write( "\"customer pays a total of $12.15 for 2.4 pounds of chicken and 1.8 pounds of fish\" \n" ); document.write( "2.4x + 1.8y = 12.15 \n" ); document.write( "; \n" ); document.write( "Substitute (5.55-.8x) for y in the above equation; solve for x: \n" ); document.write( "2.4x + 1.8(5.55-.8x) = 12.15 \n" ); document.write( "; \n" ); document.write( "2.4x + 9.99 - 1.44x = 12.15; multiply whats inside the brackets \n" ); document.write( ": \n" ); document.write( "2.4x - 1.44x = 12.15 - 9.99 \n" ); document.write( ": \n" ); document.write( ".96x = 2.16 \n" ); document.write( "x = \n" ); document.write( "x = $2.25 a lb for chicken; 2 lbs = $5.50 \n" ); document.write( ": \n" ); document.write( "Find y using the 1st equation: \n" ); document.write( "1.6(2.25) + 2y = 11.10 \n" ); document.write( ": \n" ); document.write( "3.6 + 2y = 11.10 \n" ); document.write( ": \n" ); document.write( "2y = 11.10 - 3.6 \n" ); document.write( ": \n" ); document.write( "2y = 7.5 \n" ); document.write( "y = \n" ); document.write( "y = $3.75 a lb for fish; 2 lbs = $7.50 \n" ); document.write( ": \n" ); document.write( " How much do 2 pounds of chicken and 2 pounds of fish cost. \n" ); document.write( "5.50 + 7.50 = $13.00 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions using the 2nd equation: \n" ); document.write( "2.4(2.25) + 1.8(3.75) = \n" ); document.write( "5.40 + 6.75 = 12.15; \n" ); document.write( " \n" ); document.write( " |