SOLUTION: I seem to have trouble when I am setting up for two unknowns. Can anyone help? Six cans of soda and two candy bars cost $5.12. At the same prices, 8 cans of soda and 5 candy b

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Question 60948: I seem to have trouble when I am setting up for two unknowns. Can anyone help?
Six cans of soda and two candy bars cost $5.12. At the same prices, 8 cans of soda and 5 candy bars cost $9.86. Find the price per can of soda and price per candy bar.
Thanks for your efforts.

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
6s+2b=512
8s+5b=986
------------------ multiply equation 1 by -2.5 & add to the second equation
-15s-5b=-1280
8s+5b=986
------------------
-7s=-294
s=-294/-7
s=42
------------------
6*42+2b=512
252+2b=512
2b=512-252
2b=260
b=260/2
b=130
proof
8*42+5*130=986
336+650=986
986=986

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