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.

Step-by-step explanation:

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

   The two purchases of meat can be modeled as follows:

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

$

$

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

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: