SOLUTION: On Monday, Mr. Toad bought 10 gourmet flies and 4 gourmet worms for $34. On Tuesday he bought 6 gourmet flies and 12 gourmet worms for $30. Find the price of a gourmet fly and th

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Question 587446: On Monday, Mr. Toad bought 10 gourmet flies and 4 gourmet worms for $34. On Tuesday he bought 6 gourmet flies and 12 gourmet worms for $30. Find the price of a gourmet fly and the price of a gourmet worm. Use the 5 step solution with 2 variables, please
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
On Monday, Mr. Toad bought 10 gourmet flies and 4 gourmet worms for $34. On Tuesday he bought 6 gourmet flies and 12 gourmet worms for $30. Find the price of a gourmet fly and the price of a gourmet worm.
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Equations:
10f + 4w = 34
6f +12w = 30
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Modify the equations:
30f + 12w = 102
6f + 12w = 30
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Subtract and solve for "f":
24f = 72
f = $3.00 (price of gourmet flies)
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Solve for "w":
10f + 4w = 34
10*3 + 4w = 34
4w = 4
w = $1.00 (price of the worms)
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Cheers,
Stan H.
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