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12 July, 14:29

A hot dog has about 1/4 the amount of protein as 3 ounces of hamburger. Together, they have about 25 grams of protein. How many grams of protein are in a 3 oz hamburger?

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  1. 12 July, 14:37
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    (1) protein in hot dog = ¼ * protein in 3 ounces of hamburger

    (2) protein in hot dog + protein in 3 ounces of hamburger = 25

    So we need to re-arrange (1) and (2) to solve for the protein in 3 ounces of hamburger!

    (re-arrange (1)) : 4 * protein in hot dog = protein in 3 ounces of hamburger

    (re-arrange (2)) : protein in hot dog = 25 - protein in 3 ounces of hamburger

    (plugging re-arranged (2) into re-arranged (1)):

    4 * (25 - protein in 3 ounces of hamburger) = protein in 3 ounces of hamburger (multiplying)

    100 - 4 protein in 3 ounces of hamburger = protein in 3 ounces of hamburger

    solving for the protein in 3 ounces of hamburger:

    5 * protein in 3 ounces of hamburger = 100

    protein in 3 ounces of hamburger = 20 gram
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