Question

A chili recipe calls for 2 pounds of ground pork and 3.5 pounds of ground beef. The cost of ground beef per pound is $0.20 less than twice the cost of ground pork. If the total cost of meat for the recipe is $15.05, what is the cost per pound of ground pork?

Answer 1

Answer: $\ 1.75\ \text{per pound}$

Step-by-step explanation:

Given

The recipe calls for 2 Pounds of ground pork and 3.5 pounds of ground beef

Suppose x is the cost of ground pork

So, the cost of ground beef is $2x-0.2$

The total cost of meat is $\ 15.05$

The total cost can also be written as

$\Rightarrow 2\times x+3.5\times (2x-0.2)=15.05\\\Rightarrow 2x+7x-0.7=15.05\\\Rightarrow 9x=15.75\\\Rightarrow x=\frac{15.75}{9}=\ 1.75\ \text{per pound}$

So, the cost of ground pork is $\ 1.75\ \text{per pound}$