A dose of a drug is 20 mg/kg. The patient weighs 23 kg. Use proportions to determine how many mg of the drug this patient should receive.

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Mathematics

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18 November, 14:13

A dose of a drug is 20 mg/kg. The patient weighs 23 kg. Use proportions to determine how many mg of the drug this patient should receive.

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Maxim Cain · Answer 1

The patient should receive 460mg of the drug

Step-by-step explanation:

This problem can be explained as a simple rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The dose of the drug

- The weight of the patient.

As the the weight of the patient increases, so will the dose of the drug. This means that the relationship between the measures is direct, and we have the following rule of three:

20 mg - 1 kg

x mg - 23kg

x = 20*23

x = 460mg

The patient should receive 460mg of the drug