Question

A bag of mized peanuts and cashews contains 5 pounds of peanuts that cost $16 per pound and 11 poud of cashews that cost $9 per pound. how much should the bag of mixed peanuts and cashews cost per pound?

Answer 1

To find the cost per pound of the mixed nuts, sum the individual costs of peanuts and cashews and then divide by the total weight. With 5 pounds of peanuts at $16/pound and 11 pounds of cashews at $9/pound, the mixed bag costs $11.19 per pound.

Step-by-step explanation:

To calculate the cost per pound of a bag containing peanuts and cashews, we need to figure out the total cost of each type of nut, and then divide the total cost by the total weight of the bag. We know there are 5 pounds of peanuts at $16 per pound and 11 pounds of cashews at $9 per pound.

First, calculate the total cost for the peanuts:

5 pounds × $16 per pound = $80

Next, calculate the total cost for the cashews:

11 pounds × $9 per pound = $99

Add the two totals together to find the overall cost:

$80 (peanuts) + $99 (cashews) = $179

The total weight of the bag is the sum of the weight of the peanuts and the cashews:

5 pounds (peanuts) + 11 pounds (cashews) = 16 pounds (total)

Now, divide the total cost by the total weight to find the cost per pound of the mixed bag:

$179 ÷ 16 pounds = $11.19 per pound