A child receives 10mg of medicine for every kilogram she weighs. How much medicine should she receive if she weighs 48 pounds and the conversion factor for pounds to kilograms is 1 pound = 0.4536kg?

The weight of the child in the given question is 48 pounds.

Now we know that

1 pound = 0.4536 kg

Then 48 pounds = (0.4536 * 48) kg

= 21.77 kg

We also know from the given question that for kg of weight of the child, 10 mg of medicine is required.

Then

1 kg weight of child = 10 mg

22.77kg of the child = (22.77 * 10) mg

= 217.73 mg

So the amount of medicine required by the child is 217.73 mg.