Answer:
Pork is $1.75 per pound (x=1.75)
Chicken is $2.58 per pound (y=2.58)
Step-by-step explanation:
<u>Key skills needed for this problem: Linear Equations, Systems, Elimination</u>
1) Use x and y for the pork and the chicken and you will get 2 equations:
- 32x + 50y = 185
- 8x + 20y = 65.6
We can use elimination in this system.
2) To use elimination, we can multiply the 2nd equation by -4:
-4(8x + 20y) = 65.6(-4) becomes -32x-80y = -262.40
3) Next add both equations:
32x + 50y = 185
+
-32x - 80y = -262.4
-----------------------------
-30y = -77.4
y = $2.58
4) Next we can substitute the y value into one of the equations. I like the first one so I used that one ---> 32x + 50(2.58) = 185
50(2.58) is equal to 129 so ---> 32x + 129 = 185
-129 -129
------------------------
32x = 56
Divide by 32 and get x= $1.75
5) Therefore, It is $1.75 per pound of pork, and $2.58 per pound of beef.
<em>Hope you understood and have a nice day!! :D</em>
