Q:

Mrs.Willy bought 3 1/2 pounds of ground turkey and 2 1/2 pounds of white fish the white fish is $4.60 per pound cheaper than the ground turkey if she paid a total of 51.59 what is the price per pound she paid for the ground turkey and the price per pound for the white fish

Accepted Solution

A:
Answer:the price per pound she paid for the ground turkey = $10.515 the price per pound for the white fish= $5.915Step-by-step explanation:Let x = cost of one pound of ground turkey.Let y = cost of one pound of white fishMrs.Willy bought 3 1/2 (7/2) pounds of ground turkey and 2 1/2(5/2) pounds of white fish and she paid a total of $51.59. This means7x/2 + 5y/2= 51.59 - - - - - - -1the white fish is $4.60 per pound cheaper than the ground turkey. This means y = x - 4.60To find the price per pound she paid for the ground turkey and the price per pound for the white fish, substitute y= x - 4.60 in equation 17x/2 + 5y/2= 51.59 3.5x +2.5y = 51.593.5x + 2.5(x-4.6) = 51.593.5x + 2.5x - 11.5= 51.596x = 51.59+11.5= 63.09x = 63.09/6 = $10.515Substituting x = 10.515 in equation y = x - 4.60, y = 10.515-4.60= $5.915