Question

25 pts and a mark for real answers. Help!! A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 6 pounds of walnuts, the total cost is $30. For 3 pounds of chocolate chips and 2 pounds of walnuts, the total cost is $12. Find the cost for each pound of chocolate chips and each pound of walnuts.

Answer 1

Each pound of chocolate chips costs $ 1.5 and each pound of walnuts cost $ 3.75 .

Explanation:

Let, each pound of chocolate chips costs $ x and each pound of walnuts costs $ y.

Then, according to the question,

5x + 6y = 30 --------------(1) and,

3x + 2y = 12 ----------------(2)

Multiplying (2) by 3 we get,

9x + 6y = 36 ---------------------(3)

Deducting (1) from (3) we get,

4x = 6

⇒ x = 1.5 ----------------------(4)

From (4), putting the value of x in (2) , we get,

2y = 7.5

⇒ y = 3.75 ---------------------------(5)