Medication A is given every 4 hours and medication B is given twice each day. The total intake of the two medications is restricted to 54.9 mg per day, for a certain patient. If the ratio of the dosage of A to the dosage of B is 1 to 5, find the dosage for each administration of each medication.
A)Each dosage of medication should be 54.9 mg of A and 11 mg of B.
B)Each dosage of medication should be 59.9 mg of A and 12 mg of B.
C)Each dosage of medication should be 3.4 mg of A and 17.2 mg of B.
D)Each dosage of medication should be 11.0 mg of A and 2.2 mg of B.
E)Each dosage of medication should be 43.9 mg of A and 8.8 mg of B.

Question

Medication A is given every 4 hours and medication B is given twice each day. The total intake of the two medications is restricted to 54.9 mg per day, for a certain patient. If the ratio of the dosage of A to the dosage of B is 1 to 5, find the dosage for each administration of each medication. ​
A)Each dosage of medication should be 54.9 mg of A and 11 mg of B.
B)Each dosage of medication should be 59.9 mg of A and 12 mg of B.
C)Each dosage of medication should be 3.4 mg of A and 17.2 mg of B.
D)Each dosage of medication should be 11.0 mg of A and 2.2 mg of B.
E)Each dosage of medication should be 43.9 mg of A and 8.8 mg of B.

Quizplus · Accepted Answer

Medication A is given 6 times a day (every 4 hours) and medication B is given twice a day. Let the dosage of A be $x$ mg and the dosage of B be $5x$ mg, according to the 1 to 5 ratio. The total daily dosage is $6x + 2(5x) = 54.9$. Solving for $x$ gives $x = 3.4$ mg for A and $5x = 17.2$ mg for B.

Medication a Is Given Every 4 Hours and Medication B