Question

Price chopper pies to 50 pounds of walnuts and pecans for the holiday season At a cost of $1200. If pecans cost six dollars per pound and walnuts cost four dollars per pound how many pounds of walnuts did they buy?

Answer 1

Answer:

Explanation:

Let x and y denote the number of walnut and pecan respectively.

Mass of walnut and pecan:

x + y = 250 pounds

y = $6/pound

x = $4/pound

Cost of walnut and pecan:

4x + 6y = $1200

Solving both equations simultaneously,

x = 250 - y

4(250 - y) + 6y = 1200

2y = 1200 - 1000

y = 200/2

= 100 pounds

x = 250 - 100

= 150 pounds

150 pounds of walnut was purchased.

Answer 2

pounds of walnut bought = 150 pounds

Explanation:

Let weight of walnut be x and weight of pecans be y

x + y = 250 ---------------------------Eqn1

4x + 6y = 1200--------------------Eqn 2

Solving both equations simultaneously

From eqn1 x= 250 - y, substitute x=50-y into Eqn2

4(250-y) + 6y = 1200

2y = 200

y = 100

x = 250 - 100 = 150

Hence pounds of walnut bought = 150 pounds