Question

A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a pound. What should be the unit price of the other type of nuts he uses?

Answer 1

Answer:

60 cents per pound.

Step-by-step explanation:

Let x represent the cost of other type of nuts in cents.

We have been given that a man wants to make up 100 one-pound jars of nuts and he plans to use 40 pounds of nuts worth 75 cents a pound.

The pounds of other types of nuts would be 100 pounds minus 40 pounds that is equal to 60 pounds.

The total cost of 60 pounds of other type of nuts would be $60x$.

The total cost of 40 pounds of nuts worth 75 cents per pound would be $40\times 75=3000$.

The cost of 60 pounds of other nuts and 40 pounds of nuts worth 75 cents per pound would be equal to total cost of 100 pounds of nuts worth 66 cents per pound.

We can represent this information in an equation as:

$60x+3000=100(66)$

$60x+3000=6600$

$60x+3000-3000=6600-3000$

$60x=3600$

$\frac{60x}{60}=\frac{3600}{60}$

$x=60$

Therefore, the other type of nuts are worth 60 cents per pound.