a pharmacist discovered she had 7/4 prescriptions filled for antibiotics and tranquiizers.66 prescriptions were filled.. how many were tranquilizers?
To find out how many prescriptions were for tranquilizers, you can use the given information that the pharmacist had 7/4 prescriptions filled for antibiotics and tranquilizers.
Let's break this down step by step:
1. Start with the fraction of prescriptions that were filled for antibiotics and tranquilizers: 7/4.
2. Since 7/4 is more than 1 (since the numerator is greater than the denominator), it means that there were more prescriptions filled for antibiotics and tranquilizers than the total number of prescriptions (66).
3. Divide 66 by the denominator (4) of the fraction to find the "base unit" or ratio: 66 / 4 = 16.5. This means that there were 16.5 prescriptions for antibiotics and tranquilizers for each "base unit."
4. Multiply the numerator (7) of the fraction by the "base unit" (16.5) to find the number of prescriptions for antibiotics and tranquilizers: 7 * 16.5 = 115.5.
Therefore, the pharmacist filled 115.5 prescriptions for antibiotics and tranquilizers. Since prescriptions are typically whole numbers, we need to round the result. Rounding down, we get 115 prescriptions for antibiotics and tranquilizers.
To find the number of prescriptions for tranquilizers, subtract the number of prescriptions for antibiotics from the total number of prescriptions we just found:
115 (total) - 66 (antibiotics) = 49 tranquilizers.
Therefore, the pharmacist filled 49 prescriptions for tranquilizers.