Hi there!
Here's the important information we know :
1 teaspoon → 10 kg (per day)
First, you need to transform teaspoons in milliliters and kilograms in pounds :
1 teaspoon = 4.92892 mL
1 kg = 2.20462 pounds
10 kg = X pounds
2.20462 × 10 = X pounds
22.0462 = pounds
So the information we knew before in teaspoon and kg is now transformed as :
4.92892 mL → 22.0462 pounds
If a patient is 44 pounds, let's see how much mL he needs in a day using the cross product method :
4.92892 mL → 22.0462 pounds
X mL → 44 pounds
(4.92892 × 44) ÷ 22.0462 = X mL
216.87248 ÷ 22.0462 = X mL
9.8371819 = X mL
Which means that for a 44 pound patient, he'll need 9.8371819 mL per day.
If he has a bottle of 100 mL of medication and uses 9.8371819 mL of it per day, how long will the bottle last him?
100 mL ÷ 9.8371819 mL = Number of days the bottle will last him
10.165513 = Number of days the bottle will last him
Your answer : A bottle of 100mL would last 10 days for a 44 pound patient who needs to take 1 teaspoon of medication per kilogram per day.
There you go! I really hope this helped, if there's anything just let me know! :)
