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.

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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(39632) About Me  (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.

3j%2B2b=29 and 6j%2B3b=54
Solve these simultaneous equations for b and j. Simplify the "54" equation first. It becomes 2j%2Bb=18.

Solve the "18" equation for b.
b=18-2j;
Substitute into ....
highlight_green%283j%2B2%2818-2j%29=29%29... and continue...