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A pharmacist found at the end of the day she had seven fourths

7/4 as many prescriptions for antibiotics as tranquilizers. She had 44 prescriptions altogether. How many did she have for tranquilizers?

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44/(7+4) = 44/11 = 4

7 * 4 = 28

4 * 4 = 16

16 + 28 = 44

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