Question

How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pound?

Answer 1

Answer:

5 pounds

Step-by-step explanation:

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Answer 2

5 pounds of cashews that cost $14 per pound should be mixed.

GIVEN

The cost price of cashews = $14 per pound

Cost of 5 pounds of peanuts = $ 6.50 per pound

Cost of new mixture = $ 10.25 per pound.

TO FIND

Pounds of cashew That cost $14 per pound.

SOLUTION

We can simply solve the above problem as follows;

Let the weight of cashews that costs $14 per pound to mix be x

weight of mixture = x + 5 pounds.

Cost of the mixture = (x + 5) × 10.25

It is given,

The cost of 5 pounds of Cashew = $ 6.50 per pound.

Cost of 5 pounds of cashews = $ 6.50 × 5

Cost of another batch of cashew = $14 per pound.

So the cost of x pounds of cashew = $ 14x

The algebraic expression so formed is as follows;

14x + 5(6.5) = (x+5)10.25

Solving the above equation;

14x + 32.5 = 10.25x + 51.25

Bringing the like terms together

14x - 10.25x = 51.25 - 32.5

3.75x = 18.75

x = 18.75/3.75

x = 5

Hence, 5 pounds of cashews that cost $14 per pound should be mixed.

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