# Question #e2a52

Sep 14, 2017

You left out the volume of the teaspoon....

#### Explanation:

But if the teaspoon is the standard $5 \cdot m L$ volume, then the dosage is $\frac{3}{2} \times 100 \cdot m g \equiv 150 \cdot m g$.

It really is a bit of a schemozzle when we mix metric measures, with a child's mass in pounds. I think it is just asking for trouble. Errors in dosage always occur, and this whack mixture of units would compound the problem.

Sep 14, 2017

The child would receive a dose of 0.15 g of ibuprofen.

#### Explanation:

$\text{Dose" = 1.5 color(red)(cancel(color(black)("tsp"))) × (4.93 color(red)(cancel(color(black)("mL"))))/(1 color(red)(cancel(color(black)("tsp")))) × (100. color(red)(cancel(color(black)("mg"))))/(5 color(red)(cancel(color(black)("mL")))) × "1 g"/(1000 color(red)(cancel(color(black)("mg")))) = "0.15 g}$

Note: The answer can have only two significant figures, because that is all you gave for the umber of teaspoons.