Question

Jordan has gone into the nut business. He wants to make a mixture of walnuts and cashews that cost $1.00 per pound. How many pounds of walnuts that cost $0.80 per pound must be mixed with 8 pounds of cashews that costs $1.25 per pound to make his mixture of nuts cost $1.00 per pound?

A. 16 lbs
b. 11 lbs
c. 20 lbs
d. 10 lbs

Answer 1

The answer is C have a good day

Answer 2

The answer is (d) 10 lbs.

Explanation:

Let's start by using the weighted average formula:

weighted average price = (price of first item x weight of first item + price of second item x weight of second item) / total weight

Let x be the number of pounds of walnuts needed.

The total weight of the mixture is x + 8 pounds.

The price of the walnuts is $0.80 per pound, and the price of the cashews is $1.25 per pound.

We want the mixture to cost $1.00 per pound.

Using the formula, we get:

1.00 = (0.80x + 1.25(8)) / (x + 8)

Simplifying, we get:

1.00(x + 8) = 0.80x + 10

1.00x + 8.00 = 0.80x + 10.00

0.20x = 2.00

x = 10

Therefore, Jordan needs to mix 10 pounds of walnuts with 8 pounds of cashews to make a mixture that costs $1.00 per pound.