jody is supplying his food truck for the week. he buys 32 pounds of pork and 52 pounds of chicken for a total of $185. he realizes he 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.

Respuesta :

Answer:

Chicken = $2.76/pound and Pork = $1.30/pound

Step-by-step explanation:

Set up both equations.

Let p = pork and c = chicken

32p + 52c = 185

8p + 20c = 65.60

Multiply 2nd equation by -4.

-4(8p + 20c) = 65.60(-4)

-32p -80c = - 262.40

Add to first equation.

32p + 52c = 185

-32p -80c = -262.40

————————————

         -28c = -77.40    Divide by—28 on both sides to get c = $2.76/pound

substitute 2.76 in equation to solve for p

32p + 52(2.76) = 185 to get p = $1.30