SOLUTION: In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints? A.

Algebra ->  Expressions-with-variables -> SOLUTION: In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints? A.      Log On


   



Question 1062023: In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?
A.)mints are 65¢ per lb
B.)mints are 75¢ per lb
C.)mints are 85¢ per lb

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
3c+2m = 10.80 (1)
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1c+3m = 5.35 multiply both sides times 3:
3c+9m =16.05 (2)
Now subtract (2) from (1):
3c+2m = 10.80
-
3c+9m =16.05
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0c+(-7m) = -5.25
-7m = -5.25 divide both sides by 7 and remember that -/- = +
m = 0.75 This is the cost per pound of the mints.
:
John