A client who weighed 81.5 kilograms (kg) lost 3.75 kg. How much does the client weigh now?
A client’s weight increased from 175 pounds (lb) to 210 lb. What was the percent of increase in the client’s weight?
A client is receiving 0.6 milligrams (mg) of a medication four (4) times a day. How many mg would the client receive after 2½ days?
The Correct Answer and Explanation is:
Let’s address each of the three scenarios step by step, providing the correct answers and a detailed explanation for each calculation.
1. Weight Loss Calculation:
A client who weighed 81.5 kg lost 3.75 kg. To calculate the current weight, we subtract the weight lost from the original weight.
Calculation:
$$
\text{New weight} = \text{Original weight} – \text{Weight lost}
$$
$$
\text{New weight} = 81.5 \, \text{kg} – 3.75 \, \text{kg} = 77.75 \, \text{kg}
$$
Answer:
The client now weighs 77.75 kg.
2. Percent Increase in Weight:
A client’s weight increased from 175 pounds (lb) to 210 lb. To calculate the percent increase in weight, we use the formula:
$$
\text{Percent Increase} = \left( \frac{\text{New weight} – \text{Old weight}}{\text{Old weight}} \right) \times 100
$$
Calculation:
$$
\text{Percent Increase} = \left( \frac{210 \, \text{lb} – 175 \, \text{lb}}{175 \, \text{lb}} \right) \times 100
$$
$$
\text{Percent Increase} = \left( \frac{35}{175} \right) \times 100 = 0.2 \times 100 = 20\%
$$
Answer:
The percent increase in the client’s weight is 20%.
3. Medication Dosage Over 2½ Days:
A client is receiving 0.6 milligrams (mg) of medication four times a day. To find how many milligrams the client would receive after 2½ days, we first calculate the total number of doses in 2½ days and then multiply by the dosage per dose.
Calculation:
The client receives 4 doses per day, and for 2½ days, the number of doses would be:
$$
\text{Total doses} = 4 \, \text{doses/day} \times 2.5 \, \text{days} = 10 \, \text{doses}
$$
Now, multiply the number of doses by the dosage per dose:
$$
\text{Total medication} = 0.6 \, \text{mg/dose} \times 10 \, \text{doses} = 6 \, \text{mg}
$$
Answer:
The client would receive 6 mg of medication after 2½ days.
Explanation for Each Calculation:
- Weight Loss Calculation:
The formula for calculating weight after a loss is straightforward subtraction. The weight lost (3.75 kg) is subtracted from the client’s initial weight (81.5 kg). This results in the client’s current weight being 77.75 kg. - Percent Increase in Weight:
To calculate the percent increase, we subtract the old weight from the new weight, giving the difference (35 lb). This difference is then divided by the original weight (175 lb) to get a proportion, which is multiplied by 100 to convert the result into a percentage. A 35 lb increase on a base of 175 lb gives a 20% increase. - Medication Dosage Over 2½ Days:
To determine the total medication received, we multiply the number of doses per day by the number of days (2½), then multiply by the dosage per dose (0.6 mg). This gives the total amount of medication the client will receive over the 2½ days, which is 6 mg.
These are basic calculations involving subtraction, percentage, and multiplication, which are frequently used in healthcare to track patient measurements and medication doses.