Question

Brad went to Walnut and purchased 4 pounds of cashews and 2 pounds

of peanuts for a total of $36. Roberto also went to Walnut but purchased
7 pounds of cashews and 6 pounds of peanuts for a total of $73.
Price per pound for cashews was $
Price per pound for peanuts was $

Answer 1

Price per pound for cashews = $7

Price per pound for peanuts = $4

Explanation:

Let,

x be the price per pound of cashews

y be the price per pound of peanuts

According to given statement;

4x+2y=36 Eqn 1

7x+6y=73 Eqn 2

Multiplying Eqn 1 by 3

3(4x+2y=36)

12x+6y=108 Eqn 3

Subtracting Eqn 2 from Eqn 3

(12x+6y)-(7x+6y)=108-73

12x+6y-7x-6y=35

5x=35

Dividing both sides by 5

`(5x)/(5)=(35)/(5)\\x=7`

Putting x=7 in Eqn 1

4(7)+2y=36

28+2y=36

2y=36-28

2y=8

Dividing both sides by 2

y=4

Hence,

Price per pound for cashews = $7

Price per pound for peanuts = $4