## How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.

Question

How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts? 75p + 150(10) = 100(p + 10) 75(p + 10) + 150(10) = 100(p + 10) 75p + 150 = 100(p + 10)

## Answers ( No )

## Answer:

75p + 150(10) = 100(p + 10)

## Explanation:

Mixture problems such as this can be solved by writing an equation that expresses the total cost of the mixture in terms of the costs of the constituents.

Here, the cost (in cents) of p pounds of cashews will be 75p. The cost (in cents) of the 10 pounds of pecans at $1.50 per pound will be 150(10). The total cost of p+10 pounds of the mixture is desired to be 100(p+10).

The equation of the 1st selection is appropriate. It tells that the prices of the contributing nuts add to give the price of the mixture, just as you want:

75p + 150(10) = 100(p+10)