At the end of the day, a pharmacist counted and found she has 4/3 as many prescriptions for antibiotics as she did tranquilizers. she had 84 prescriptions for the two types of drugs. how many prescriptions did she have for tranquilizers?

So basically you could say that there were 4/3 antibiotic prescriptions, therefore there would be 3/3 tranquilizers. And since if you add the two together, getting 7/3, you can just divide 84 by 7 and 7/3 by 7, which would result in 12 and 1/3. Since 1/3 is 1/3 of 3/3, multiply 12 by 3 and you would get 36 tranquilizers.

That probably made no sense.