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bobdylan Rising GMAT Star Default Avatar
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Question from Gmat Prep- Help please! 5 Post Sat Apr 14, 2012 7:23 am
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    According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce can of the concentrate are required to prepare 200 6-ounces serving of orange juice?
    a)25
    b)34
    c)50
    d)67
    e)100

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    Brent@GMATPrepNow GMAT Instructor
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    Post Sat Apr 14, 2012 7:39 am
    bobdylan wrote:
    According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce can of the concentrate are required to prepare 200 6-ounces serving of orange juice?
    a)25
    b)34
    c)50
    d)67
    e)100
    This can be solved using equivalent ratios.
    The first part tells that, for every 1 can of concentrate, we can make 4 cans of juice.
    Let's be even more generic, for 1 volume of concentrate, we can make 4 volumes of juice.

    Okay, now notice that we have a problem with the volume mismatch in the question. It involves 12-ounce cans of concentrate and 6-ounce servings.
    So, let's reword the question. Instead of making 200 6-ounce servings of juice, let's make 100 12-ounce servings of juice. We're still making the same amount of juice.

    We're now asking, "How many 12-ounce cans of the concentrate are required to prepare 100 12-ounce serving of orange juice?

    We'll solve this question using equivalent ratios.

    (volume of concentrate)/(volume of juice): 1/4 = x/100

    Solve for x to get x=25
    So, the answer is A

    Cheers,
    Brent

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