Question

Use simultaneous equations to solve the following. Three kilograms of jam and two kilograms of butter cost $29 and six kilograms of jam and three kilograms of butter cost $54. Find the cost of one kilogram of jam and one kilogram of butter.

Answer 1

The cost of 1kg jam is $7 and the cost of 1kg butter is $4

Explanation:

Let jam = x

butter = y

3x + 2y = 29 -----(1)

6x + 3y = 54 -----(2)

(1)×2 ->

6x + 4y = 58 -----(3)

(3)-(2) ->

y = 4

suby=4into(2)

6x + 3(4) = 54

6x = 42

x = 7

(Correct me if i am wrong)