Question

fourty pounds of cashews costing 9.40 per pound were mixed ithh 100 pounds of peanuts costing 3.50 per pound. Find the cost per pound of the resulting mixture. Round your amswer to the eaesy cent.

Answer 1

To calculate the cost per pound of the mixture, first find the total cost of each type of nut, add these together, and then divide by the total weight of the mixture. The resulting cost per pound, rounded to the nearest cent, is $5.19.

Step-by-step explanation:

To find the cost per pound of the resulting mixture when 40 pounds of cashews costing $9.40 per pound are mixed with 100 pounds of peanuts costing $3.50 per pound, you need to perform a weighted average calculation.

First, calculate the total cost of the cashews by multiplying the number of pounds by the price per pound: 40 pounds × $9.40 per pound = $376.00.

Next, calculate the total cost of the peanuts: 100 pounds × $3.50 per pound = $350.00.

Then, combine the total costs of both nuts: $376.00 (cashews) + $350.00 (peanuts) = $726.00.

Next, determine the total weight of the mixture: 40 pounds (cashews) + 100 pounds (peanuts) = 140 pounds.

Finally, divide the combined cost by the total weight to get the cost per pound of the mixture: $726.00 ÷ 140 pounds = $5.19 per pound.

The cost per pound of the mixture, when rounded to the nearest cent, is $5.19.