Question

The manager of a bulk foods establishment sells peanuts tor $6 per pound and premium cashews tore $12 per pound. The manager wishes to make a 105 pound nut mixture that will sell foe $10 per pound. Howe many pounds of peanuts should be used?

A) 30 ponds of peanuts.
B) 70 pound,of peanuts.
C) 35 pounds of peanuts.
D) 60 pounds of peanuts.
E) None of these

Answer 1

B

Explanation:

Answer 2

Answer:C

Explanation:

Let x represent the number of pounds of peanuts sold

Let y represent the number of pounds of premium cashews sold

The manager of a bulk foods establishment sells peanuts for $6 per pound and premium cashews for $12 per pound. This means that the total cost of x pounds of peanuts and y pounds of premium cashews will be 6x + 12y

The manager wishes to make a 105 pound nut mixture. This means that

x + y = 105

If he wants to sell them for $10 per pound, the total will be 10 × 105 = 1050, then

6x + 12y = 1050 - - - - - - - - - -1

Substituting x = 105 - y into equation 1, it becomes

6(105 - y) + 12y = 1050

630 - 6y + 12y = 1050

-6y + 2y = 1050 - 630

6y = 420

y = 420/6 = 70

x = 105 - y

x = 105 - 70 = 35

There are 35 pounds of peanuts.