Question

Prescription: 15 mg of Drug Z per pound of child’s weight a day. Child’s Weight: 45 Kg Issue: The parents would prefer to give liquid medication. You found a liquid medication that contains 0.7 grams of Drug Z per mL of solution. Question: How many mL of the liquid medication should the child take to meet the order of the prescription? Round your answer to 3 decimal places.

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Answer to a math question Prescription: 15 mg of Drug Z per pound of child’s weight a day. Child’s Weight: 45 Kg Issue: The parents would prefer to give liquid medication. You found a liquid medication that contains 0.7 grams of Drug Z per mL of solution. Question: How many mL of the liquid medication should the child take to meet the order of the prescription? Round your answer to 3 decimal places.

Expert avatar
Seamus
4.9
95 Answers
Step 1: Convert the child's weight from kilograms to pounds.

45 \text{ Kg} \times 2.20462 = 99.208 \text{ lbs}

Step 2: Calculate the required amount of Drug Z in mg.

15 \text{ mg/lb} \times 99.208 \text{ lbs} = 1488.12 \text{ mg}

Step 3: Convert the amount of Drug Z per mL of the solution from grams to mg.

0.7 \text{ g/mL} = 700 \text{ mg/mL}

Step 4: Calculate the volume of medication required in mL.

\frac{1488.12 \text{ mg}}{700 \text{ mg/mL}}=2.126\text{ mL}

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