Problema Solution

A pharmacist found at the end of the day she had (5/4) as many prescriptions for antibiotics as tranquilizers. She had 36 prescriptions altogether. How many did she have for tranquilizers?

Answer provided by our tutors

let


t = the number of prescriptions for tranquilizers


a = the number of prescriptions for antibiotics


a pharmacist found at the end of the day she had (5/4) as many prescriptions for antibiotics as tranquilizers:


a = (5/4)t


She had 36 prescriptions altogether


a + t = 36


by solving the system of equations:


a = (5/4)t


a + t = 36


we find:


a = 20 prescriptions for antibiotics


t = 16 prescriptions for tranquilizers


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the pharmacist had 16 prescriptions for tranquilizers.