SOLUTION: 3 kilogram of jam and 2 kilograms of butter cost $29 and 6 kilograms of jam and 3 kilograms of butter cost $54. find the cost of 1 kilogram of jam and 1 kilogram of butter.

Question 836376: 3 kilogram of jam and 2 kilograms of butter cost $29 and 6 kilograms of jam and 3 kilograms of butter cost $54. find the cost of 1 kilogram of jam and 1 kilogram of butter.
Answer by josgarithmetic(39633) (Show Source): You can put this solution on YOUR website!
This is a linear system. The prices are unknown.
Let j = price of the jam
Let b = price of the butter.

and
Solve these simultaneous equations for b and j. Simplify the "54" equation first. It becomes .

Solve the "18" equation for b.
;
Substitute into ....
... and continue...
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