a pharmacist found at the end of the day she had 7/4 as many prescriptions for antibiotics as tranquilizers. She had 66 prescriptions altogether. How many did she have for tranquilizers?
7 + 4 = 11
66/11 = 6
6*4 = ?
To find out how many prescriptions the pharmacist had for tranquilizers, you can follow these steps:
Step 1: Let's assume the number of prescriptions for tranquilizers is "x".
Step 2: According to the information given, the pharmacist had 7/4 times as many prescriptions for antibiotics as tranquilizers. This can be expressed as:
Number of prescriptions for antibiotics = (7/4) * x
Step 3: The pharmacist had a total of 66 prescriptions, so the sum of prescriptions for antibiotics and tranquilizers should equal 66. We can write this as an equation:
(7/4) * x + x = 66
Step 4: To simplify the equation, we need to get rid of the fraction by multiplying every term by the common denominator, 4:
7x + 4x = 66 * 4
Step 5: Combine like terms:
11x = 264
Step 6: Finally, divide both sides of the equation by 11 to isolate x:
x = 264 / 11
Step 7: Calculate the final answer:
x ≈ 24
Therefore, the pharmacist had approximately 24 prescriptions for tranquilizers.