# SOLUTION: I need help on this problem: 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.

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 137791: I need help on this problem: 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 Thank you.Answer by ankor@dixie-net.com(15656)   (Show Source): 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 : Let x = price per pound for chicken Let y = price per pound for fish : Write an equation for each statement: : "customer pays a total of \$11.10 for 1.6 pounds of chicken and 2 pounds of fish." 1.6x + 2y = 11.10 2y = 11.10 - 1.6x : Divide equation by 2: y = (5.55 - .8x); use this for substitution : "customer pays a total of \$12.15 for 2.4 pounds of chicken and 1.8 pounds of fish" 2.4x + 1.8y = 12.15 ; Substitute (5.55-.8x) for y in the above equation; solve for x: 2.4x + 1.8(5.55-.8x) = 12.15 ; 2.4x + 9.99 - 1.44x = 12.15; multiply whats inside the brackets : 2.4x - 1.44x = 12.15 - 9.99 : .96x = 2.16 x = x = \$2.25 a lb for chicken; 2 lbs = \$5.50 : Find y using the 1st equation: 1.6(2.25) + 2y = 11.10 : 3.6 + 2y = 11.10 : 2y = 11.10 - 3.6 : 2y = 7.5 y = y = \$3.75 a lb for fish; 2 lbs = \$7.50 : How much do 2 pounds of chicken and 2 pounds of fish cost. 5.50 + 7.50 = \$13.00 : : Check solutions using the 2nd equation: 2.4(2.25) + 1.8(3.75) = 5.40 + 6.75 = 12.15;