Question

question: 20 of 25
a nurse is preparing to administer magnesium gluconate 270 mg po every 6 hr. available is magnesium gluconate liquid 54 mg/5 ml. how many ml should the nurse administer per dose? (round the answer to the nearest whole number. use a leading zero if it applies. do not use a trailing zero.)

Explanation:

Step1: Set up proportion

Let $x$ be the volume in mL. We have the proportion $\frac{34\ mg}{5\ mL}=\frac{270\ mg}{x\ mL}$.

Step2: Cross - multiply

$34x = 270\times5$.

Step3: Calculate the right - hand side

$270\times5 = 1350$, so $34x=1350$.

Step4: Solve for $x$

$x=\frac{1350}{34}\approx39.70588$.

Step5: Round to nearest whole number

Rounding $39.70588$ to the nearest whole number gives $40$.

Answer:

$40$