A cow weighing 1317 slug can yield10% steak. Steak may contain 5.8 % fat. How many milligrams of fat can you get from 0.548 slug of steak? (1 slug = 14.59 kg) Answer in units of mg
I started the conversion by converting slugs to kg, but I didn't know what to do after that...
fat=slugs*steak/slug*fat/steak
= 1317*.1 *.058 slugs of fat
now convert slugs to kg, then kg to mg
120
31
To solve this problem, you need to convert the given measurements to the same units, calculate the weight of the steak, and then determine the amount of fat in milligrams.
Let's break down the steps:
Step 1: Convert slugs to kilograms
Given: 1 slug = 14.59 kg
0.548 slug * 14.59 kg/slug = 7.99292 kg (round to 5 decimal places)
Step 2: Calculate the weight of the steak
Given: The cow weighs 1317 slug and yields 10% steak
Weight of the steak = (10/100) * weight of the cow
Weight of the steak = (10/100) * 1317 slug = 131.7 slug
Step 3: Calculate the weight of the fat in the steak
Given: Steak may contain 5.8% fat
Weight of fat = (5.8/100) * weight of the steak
Weight of fat = (5.8/100) * 131.7 slug = 7.62306 slug (round to 5 decimal places)
Step 4: Convert the weight of the fat from slugs to milligrams
1 slug = 14.59 kg
1 kg = 1,000,000 milligrams
7.62306 slug * 14.59 kg/slug * 1,000,000 mg/kg = 111,326,730.14 milligrams (round to 2 decimal places)
Therefore, you can get approximately 111,326,730.14 mg of fat from 0.548 slug of steak.