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Math Help - i need to figure out the price of potting soil by size of container?

  1. #1
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    i need to figure out the price of potting soil by size of container?

    the problem i need help solving is the following if anyone would be nice to reply i appreciate it in advance.

    i bought 18 yards of potting soil for $300.00 USD, it's a very large pile.
    i would like to know how much the soil costs after i fill up the planters or pots as they are called, they come in various sizes such as (1 gallon, 3 gallons, 7, 15, and 25 gallons ) which are the sizes that i use for plants.


    18 yds of soil= $300.00
    1 gal size pot =$
    3 gal size pot =$
    7 gal size pot =$
    15 gal size pot =$
    25 gal size pot =$

    is there a formula i can use to easily find out the price of soil in any size container?
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by -sr- View Post
    the problem i need help solving is the following if anyone would be nice to reply i appreciate it in advance.

    i bought 18 yards of potting soil for $300.00 USD, it's a very large pile.
    i would like to know how much the soil costs after i fill up the planters or pots as they are called, they come in various sizes such as (1 gallon, 3 gallons, 7, 15, and 25 gallons ) which are the sizes that i use for plants.


    18 yds of soil= $300.00
    1 gal size pot =$
    3 gal size pot =$
    7 gal size pot =$
    15 gal size pot =$
    25 gal size pot =$

    is there a formula i can use to easily find out the price of soil in any size container?
    Hi sr-,

    I first looked up how many gallons in 1 cubic yard.

    1 cu. yd. = 201.974026 gal.

    That would mean that 18 cu. yd. would be 18(201.974026 gal) = 3635.532468 gal.

    The total cost was $300.

    Divide $300 by the number of gallons to get $.0825 per gallon.

    Now, just multiply the other values times this amount to find your other container costs.
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  3. #3
    Member sinewave85's Avatar
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    Quote Originally Posted by -sr- View Post
    the problem i need help solving is the following if anyone would be nice to reply i appreciate it in advance.

    i bought 18 yards of potting soil for $300.00 USD, it's a very large pile.
    i would like to know how much the soil costs after i fill up the planters or pots as they are called, they come in various sizes such as (1 gallon, 3 gallons, 7, 15, and 25 gallons ) which are the sizes that i use for plants.


    18 yds of soil= $300.00
    1 gal size pot =$
    3 gal size pot =$
    7 gal size pot =$
    15 gal size pot =$
    25 gal size pot =$

    is there a formula i can use to easily find out the price of soil in any size container?
    Here is how you figure it, assuming that a yard of soil is actually a cubic yard (cubic foot to gallon conversion from Google calculator).

    First you need to convert cubic yards to gallons:
    1 cubic foot = 7.48051948 gallons
    18 cubic yards = (486 cubic feet)(7.48 gallons per cubic foot) = 3635.53 gallons

    Then you set up the formula to determine the cost in dollars, C(g), for a container of size 'g' gallons.

    C(g) = \frac{300g}{3635.53}

    so:

    C(1) \approx \$0.08
    C(3) \approx \$0.25
    C(7) \approx \$0.58
    C(15) \approx \$1.24
    C(25) \approx \$2.06

    Hope that helps!
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