High School

Determine how many milligrams of medication a person who weighs 126 lb should be given if the dosage is 15 mg for every 10 lb.

Answer :

Sure! Let's go through the process of finding out how many milligrams (mg) of medication a person who weighs 1261 pounds (lb) should be given, based on the dosage of 15 mg for every 10 lb.

1. Determine the Dosage Per Pound:
- The dosage rate is 15 mg for every 10 pounds.

2. Calculate the Total Dosage for the Person:
- First, we need to figure out how many sets of 10 pounds are in 1261 pounds.
- We do this by dividing the weight of the person by 10:
[tex]\[
\frac{1261}{10} = 126.1
\][/tex]
- This means there are 126.1 sets of 10 pounds in 1261 pounds.

3. Calculate the Total Medication:
- Since each set of 10 pounds requires 15 mg of medication, we multiply the number of sets by the dosage rate:
[tex]\[
126.1 \times 15 = 1891.5 \text{ mg}
\][/tex]

So, the person who weighs 1261 pounds should be given 1891.5 milligrams of medication.