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

The cost per pound of ground pork is $1.75.

Step-by-step explanation:

To find the cost per pound of ground pork, we will first need to determine the cost per pound of ground beef. Let's assume that the cost per pound of ground pork is $x. According to the information given, the cost of ground beef per pound is $0.20 less than twice the cost of ground pork. Therefore, the cost per pound of ground beef can be expressed as 2x - $0.20.

We know that the recipe calls for 2 pounds of ground pork and 3.5 pounds of ground beef, so the total cost of meat can be written as:

2 * x + 3.5 * (2x - $0.20) = $15.05

Simplifying the equation:

2x + 7x - $0.70 = $15.05

Combining like terms:

9x - $0.70 = $15.05

Adding $0.70 to both sides:

9x = $15.05 + $0.70
9x = $15.75

Dividing both sides by 9:

x = $15.75 ÷ 9
x = $1.75

Therefore, the cost per pound of ground pork is $1.75.

Answer 2

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

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