Mrs. Willy bought 3.5 pounds of ground turkey and 2.5 pounds of white fish. The white fish is $4.60 per pound cheaper than the ground turkey. If she paid a total of $51.50 what is the price per pound she paid for the ground turkey and the white fish?
W = T - 4.6
3.5T + 2.5W = 51.5
Substitute T-4.6 for W in second equation and solve for T. Insert that value into the first equation and solve for W. Check by inserting both values into the second equation.
5.6
To find the price per pound Mrs. Willy paid for the ground turkey and the white fish, we can set up a system of equations.
Let's denote the price per pound for the ground turkey as x, and the price per pound for the white fish as y.
According to the information given, the white fish is $4.60 per pound cheaper than the ground turkey. This can be expressed as:
y = x - 4.60 (Equation 1)
Mrs. Willy bought 3.5 pounds of ground turkey, so the cost of the turkey would be 3.5x. She also bought 2.5 pounds of white fish, so the cost of the fish would be 2.5y. The total cost of the purchase is $51.50, which can be expressed as:
3.5x + 2.5y = 51.50 (Equation 2)
Now we have a system of two equations that we can solve simultaneously to find the values of x and y.
Let's substitute the value of y from Equation 1 into Equation 2:
3.5x + 2.5(x - 4.60) = 51.50
Simplifying the equation:
3.5x + 2.5x - 11.50 = 51.50
Combining like terms:
6x - 11.50 = 51.50
Adding 11.50 to both sides:
6x = 63
Dividing both sides by 6:
x = 10.50
Now we can substitute the value of x back into Equation 1 to find the value of y:
y = x - 4.60
y = 10.50 - 4.60
y = 5.90
Therefore, Mrs. Willy paid $10.50 per pound for the ground turkey and $5.90 per pound for the white fish.