To calculate the amount of Children's Motrin drops the child should take, we can use the given concentration of 50 mg of Ibuprofen in 1.25 ml of liquid drops and the required dose of 78 mg.
First, we need to convert the weight of the child from pounds to kilograms:
22 pounds ÷ 2.205 = 9.98 kg
Next, we can use the following formula to calculate the required number of drops:
Number of drops = (required dose in mg / concentration in mg per ml) x (1 ml / 20 drops)
Plugging in the values, we get:
Number of drops = (78 mg / 50 mg per 1.25 ml) x (1 ml / 20 drops)
Number of drops = (78 / 50) x (1 / 1.25) x (1 / 20) ml
Number of drops = 0.93 drops
Therefore, the child should be given approximately 0.93 drops of Children's Motrin, though this amount may be difficult to measure accurately. It may be necessary to round up to the nearest whole drop or use a different dosing device to ensure the correct dose is given.