Solution Found!
a. Some athletes have as little as 3.0% body fat. If such
Chapter 1, Problem 91AQP(choose chapter or problem)
a. Some athletes have as little as 3.0% body fat. If such a person has a body mass of 65 kg, how many pounds of body fat does that person have? (1.9)
b. In a process called liposuction, a doctor removes fat deposits from a person’s body. If body fat has a density of 0.94 g/mL and 3.0 liters of fat are removed, how many pounds of fat were removed from the patient? (1.9)
Questions & Answers
QUESTION:
a. Some athletes have as little as 3.0% body fat. If such a person has a body mass of 65 kg, how many pounds of body fat does that person have? (1.9)
b. In a process called liposuction, a doctor removes fat deposits from a person’s body. If body fat has a density of 0.94 g/mL and 3.0 liters of fat are removed, how many pounds of fat were removed from the patient? (1.9)
ANSWER:Step 1 of 3
(a) Here, we are going to calculate the body fat in pounds that a person have. Given that:
The body mass = 65 kg
3.0 kg fat = 100 kg person
1.0 kg = 2.205 lbs
The conversion factors are : \(\frac{3.0 \mathrm{~kg} \mathrm{fat}}{100 \mathrm{~kg} \text { person }}, \frac{2.205 \mathrm{lb}}{1.0 \mathrm{~kg}}\)
Therefore, the body fat in pounds that a person have
\(65 \mathrm{~kg} \times \frac{3.0 \mathrm{~kg} \mathrm{fat}}{100 \mathrm{~kg} \text { person }} \times \frac{2.205 \mathrm{lb}}{1.0 \mathrm{~kg}}\)
= 4.29 lbs
Thus, the body fat in pounds that a person have 4.29 lbs