Question

how many milliliters of children’s motrin (100 mg of ibuprofen per 5 ml) are needed to give a child a dose of 60. mg? round your answer to the nearest ml.
_____ ml of children’s motrin are needed.

Explanation:

Step1: Set up the proportion

Let \( x \) be the volume in mL needed. The concentration is \( \frac{100\ \text{mg}}{5\ \text{mL}} \), and we need to find \( x \) for \( 60\ \text{mg} \). So we set up the proportion: \( \frac{100\ \text{mg}}{5\ \text{mL}}=\frac{60\ \text{mg}}{x\ \text{mL}} \)

Step2: Cross - multiply and solve for \( x \)

Cross - multiplying gives \( 100x = 60\times5 \). Then \( 100x=300 \). Dividing both sides by 100, we get \( x=\frac{300}{100}=3 \)

Answer:

3