Question

Jody is supplying his food truck for a week. He buys 32 pounds of pork and 50 pound of chicken for a total of $185. He realizes he did not purchase enough of either and returns to buy 8 more pounds of pork and 20 more pounds of chicken for a total of $65.60. Determine the unit price, in dollars per pound, for the pork and the chicken.

Answer 1

Pork costs $1.75 per pound and chicken costs $2.58 per pound

Step-by-step explanation:

   Let us assume the cost of unit pound of pork to be $p$ and cost of unit pound of chicken to be $c$. We are given two instances both of which yield a linear equation in $p$ and$c$.

   The two purchases of meat can be modeled as follows:

$32p+50c=185,8p+20c=65.60$

Multiplying second equation by 4 and subtracting from 1st equation.

$32p+50c-32p-80c=185-262.40$

$30c=77.40$

$c=2.58$$

$p=1.75$$

∴ Pork costs $1.75 per pound and chicken costs $2.58 per pound.