QuestionHow many grams of fat are in $3.06$ lbs of ground beef with $21\%$ fat? (1 lb = 453.59237 g)

Studdy Solution

STEP 1

Assumptions1. The ground beef can contain up to21% fat by mass. . The weight of the ground beef is3.06 lbs.
3. The conversion rate from pounds to grams is1 pound =453.59237 grams.

STEP 2

First, we need to convert the weight of the ground beef from pounds to grams. We can do this by multiplying the weight in pounds by the conversion rate.
$Weight\, in\, grams = Weight\, in\, lbs \\times Conversion\, rate$

STEP 3

Now, plug in the given values for the weight in pounds and the conversion rate to calculate the weight in grams.
$Weight\, in\, grams =3.06\, lbs \\times453.59237\, g/lb$

STEP 4

Calculate the weight in grams.
$Weight\, in\, grams =3.06\, lbs \\times453.59237\, g/lb =1387.99369\, g$

STEP 5

Now that we have the weight of the ground beef in grams, we can find the amount of fat in the ground beef. This can be done by multiplying the weight in grams by the percentage of fat.
$Fat\, amount = Weight\, in\, grams \\times Fat\, percentage$

STEP 6

Convert the percentage to a decimal value.
$21\% =0.21$ $Fat\, amount =138.99369\, g \\times0.21$

STEP 7

Calculate the amount of fat in the ground beef.
$Fat\, amount =1387.99369\, g \\times0.21 =291.47867\, g$ The ground beef contains approximately291.48 grams of fat.

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