Final answer:
To determine the right dosage of infants' Tylenol containing 160 mg of Acetaminophen per 5 ml for a 64 mg prescription, set up a proportion and solve for x. The calculation shows that the child should be given 2 ml of Tylenol.
Step-by-step explanation:
To determine how many milliliters (ml) of infants' Tylenol to give to a child when 5 ml contains 160 mg of Acetaminophen, and the child's pediatrician has prescribed 64 mg of Acetaminophen, we can set up a proportion. The proportion is based on the principle that the amount of Acetaminophen is directly proportional to the volume of Tylenol given.
We know that 5 ml contains 160 mg, so we can write this as:
5 ml / 160 mg = x ml / 64 mg
By cross-multiplying to solve for x, we get:
(5 ml) * (64 mg) = (160 mg) * (x ml)
320 ml*mg = 160 mg * x ml
Dividing both sides of the equation by 160 mg to isolate x, we find:
x = 320 ml*mg / 160 mg
x = 2 ml
Therefore, the correct amount of infants' Tylenol to give to the child is 2 ml.