Question

Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham?

Answer 1

Let

x-------> the cost of turkey per pound

y-------> the cost of ham per pound

Step $1$

Find the values of x and y

we know that

$4x+2y=30$ --------> equation $1$

$x=y-1.50$ --------> equation $2$

substitute equation $2$ in equation $1$

$4*[y-1.50]+2y=30$

$6y-6=30$

$6y=36$

$y=\ 6$ per pound

Find the value of x

$x=6-1.50=\ 4.50$ per pound

Step $2$

Find the combined cost of $1$ pound of turkey and $1$ pound of ham

$1*x+1*y=\ 4.50+\ 6=\ 10.50$

therefore

the answer is

$\ 10.50$

Answer 2

The turkey costs $4.75 and the ham costs $5.5.

so, 1 lb of each would be equal to $10.25