Johnny buys 4 pounds of turkey and 2 pounds of ham. she pays a total of $30 and the turkey cost $1.50 less per pound than the ham. what would be the combined cost of 1 pound of turkey and one pound of ham?

Combine cost of 1 pound of turkey and 1 pound of ham is $10.5.    

Solution:

let’s assume cost of 1 pound of turkey in dollars = x

And assume cost of 1 pound of ham in dollars = y  

Given that 4 pounds of turkey and 2 pounds of ham costs $30.

Creating linear equation using above information we get

4x + 2y = 30    (1)

lets use second condition that is turkey cost $1.50 less per pound than ham to create other equation

=> cost of 1 pound of turkey  = cost of 1 pound of ham – 1.50  

=> x = y – 1.5  (2)

Now we have following two equations to proceed further

4x + 2y = 30     (1)

x = y – 1.5         (2)

Substituting value of x from eq (2) in eq(1) we get

4( y – 1.5 ) + 2y = 30  

=> 4y – 6 + 2y  = 30

=> 6y = 30 +6

=> y = 36/6 = 6

Substituting value of y in equation (2) to get value of x  

x = 6 – 1.5 = 4.5

Combine cost of 1 pound of turkey and 1 pound of ham = x + y      

= 4.5 + 6 = 10.5

Hence combine cost of 1 pound of turkey and 1 pound of ham is $10.5.