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Math Help - multi-step problem

  1. #1
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    Exclamation multi-step problem

    problem: Seminole Dairy Farm has 100 gal of milk that is 4.6% butterfat. How much skim milk (no butterfat) should be mixed with it to make milk that is 3.2% fat?

    a: make a table.
    b: let x be the amount of skim milk. Complete the columns that show the amount and the percent of butterfat.
    c: to find the amount of butterfat in a solution, what two quantities must be multiplied?
    d: write expressions that show the amount of butterfat in each solution.
    e: Write and solve an equation to answer the problem.

    please help me with all these steps. i'm in need of some BIG help.
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  2. #2
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    Well if you wanted to half the percentage of butterfat then you'd add 100 gallons of skimmed milk, i.e. the amounts would be a 1:1 ratio.

    The ratio gives the percentage that you want to keep and the percentage you want to remove.

    As you want to keep 16 23rds of the butterfat (3.2/4.6), you have a 16:7 ratio of the amounts that need to be used.

    So if 100 gallons is 16/23, then 7/23 is...

    (7/23) / (16/23) * 100 = 7/23 * 23/16 * 100 = 7/23 * 2300/16 = 16100/368 = 43.75 gallons of skimmed milk should be added

    Does this help your table at all?
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  3. #3
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    thank you. it helps a lot.
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