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 45.7 mg per day, for a certain patient. If the ratio of the dosage of A to the dosage of B is 7 to 9, find the dosage for each administration of each medication.
A) Each dosage of medication should be 6.5 mg of A and 5.1 mg of B.
B) Each dosage of medication should be 108.7 mg of A and 84.5 mg of B.
C) Each dosage of medication should be 5.3 mg of A and 6.9 mg of B.
D) Each dosage of medication should be 5.1 mg of A and 3.9 mg of B.
E) Each dosage of medication should be 10.2 mg of A and 7.9 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 45.7 mg per day, for a certain patient. If the ratio of the dosage of A to the dosage of B is 7 to 9, find the dosage for each administration of each medication. ​
A) Each dosage of medication should be 6.5 mg of A and 5.1 mg of B.
B) Each dosage of medication should be 108.7 mg of A and 84.5 mg of B.
C) Each dosage of medication should be 5.3 mg of A and 6.9 mg of B.
D) Each dosage of medication should be 5.1 mg of A and 3.9 mg of B.
E) Each dosage of medication should be 10.2 mg of A and 7.9 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. The total daily dosage is 45.7 mg. The ratio of A to B is 7:9, which means for every 7 parts of A, there are 9 parts of B. Let the dosage of A be 7x and the dosage of B be 9x. The equation is 6(7x) + 2(9x) = 45.7. Solving for x gives the individual dosages for each administration.

Medication a Is Given Every 4 Hours and Medication B