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?

Question

asked Nov 11, 2019 164k views

1 Answer

Henry Le · Answer 1 · 2019-11-17T02:00:48+0000

From the question, we know two things:

(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

solving for the protein in 3 ounces of hamburger:

100 = 5 * protein in 3 ounces of hamburger

==> 20 = protein in 3 ounces of hamburger.