Question

A recipe for peanut butter requires 12 pounds of butter and 10 pounds of peanuts. a pound of peanuts costs four times as much as a pound of butter. if the total cost of the batch of peanut butter is $91, how much does one pound of butter cost?

Answer 1

In order to find the cost of one pound of butter, we can set up an equation using the given information and solve for x. The cost of one pound of butter is $1.75.

Step-by-step explanation:

Let the cost of one pound of butter be x dollars.

Given that a pound of peanuts costs four times as much as a pound of butter:

Cost of one pound of peanuts = 4x dollars

In the recipe, 12 pounds of butter and 10 pounds of peanuts are required. Therefore, the total cost of the batch of peanut butter can be calculated as:

Total cost = (12 * x) + (10 * 4x) = 12x + 40x = 52x dollars

Given that the total cost of the batch of peanut butter is $91, we can set up the following equation:

52x = 91

Dividing both sides of the equation by 52, we get:

x = 91 / 52 = 1.75 dollars

Therefore, one pound of butter costs $1.75.

Answer 2

Let a pound of butter cost $x

butter = x
peanut = 4x

12x + 10(4x) = 91
12x + 40x = 91
52x = 91
x = $1.75

x = $1.75

One pound of butter cost $1.75