Q52. - Algebra 2

Question

MEDICINE 

Suppose a patient must take a blood pressure medication that is dispensed in 125-milligram tablets. The dosage is 15 milligrams per kilo gram of body weight and is given every 8 hours. If the patient weighs 25 kilograms, how many tablets would be needed for a 30-day supply? Use the formula $n=24d÷\left[8\left(b\times 15÷125\right)\right]$, where $n$ is the number of tablets, $d$ is the number of days the supply should last, and $b$ is the body weight of the patient in kilograms. 

Step-by-Step Solution

Answer

Number of tablets required for a 25 kilograms patient for 30 days is 30

Step 1 - Substitute given values

Substitute 30 for d and 25 for b In given equation

$\begin{array}{c}n=24d÷\left[8\left(b\times 15÷125\right)\right]\\ n=24\left(30\right)÷\left[8\left(25\times 15÷125\right)\right]\end{array}$

Step 2 - Order of simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 3 - Simplify n = 24 30 ÷ 8 25 × 15 ÷ 125

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then simplify further the expression inside bracket as shown below

 $\begin{array}{c}n=24\left(30\right)÷\left[8\left(25\times 15÷125\right)\right]\\ =24\left(30\right)÷\left[8\left(375÷125\right)\right]\\ =720÷24\\ =30\end{array}$

Thus, number of tablets required is 30