Question #25708

a pharmacist found out at the end of the day she had 5/3 more antidepressions than she had of tranqulizers. She had 32 perscriptions all together. Find out how many tranguilizers there is?

this is an applying equation problem.

Expert's answer

Conditions

a pharmacist found out at the end of the day she had 5/3 more antidepressions than she had of tranquilizers. She had 32 prescriptions all together. Find out how many tranquilizers there is?

this is an applying equation problem.

Solution

Let the number of tranquilizers in the end of the day is XX. Then the number of antidepressions is 5/3x5/3*x. And their sum is 32 prescriptions:


x+53x=32x + \frac{5}{3}x = 323+53x=32\frac{3 + 5}{3}x = 32x=3238=12x = 32 \cdot \frac{3}{8} = 12


The number of tranquilizers was 12, the number of antidepressions was 3212=2032 - 12 = 20

**Answer: 12 and 20**

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