ATI TEAS (Test of Essential Academic Skills) Version 7MathematicsEasy
A clinic observes that 2 out of every 5 patients who schedule an appointment fail to show up. If the clinic schedules 120 appointments for a day, how many patients are expected to show up?
- A60
- B48
- C72
- D80
Show answer & explanationAnswer & explanation
Correct answer: C. 72
If 2 out of 5 patients fail to show up, then 3 out of 5 patients (5-2=3) are expected to show up. To find the number of patients expected to show up, calculate (3/5) * 120 = 72 patients.
Why the other options are wrong
- A. Incorrect; this would be if 2.5 out of 5 showed up, or 1/2.
- B. This is the number of patients expected to NOT show up (2/5 * 120 = 48).
- D. Incorrect; this would be if 4 out of 5 showed up, or 4/5 * 120 = 96.
Proportional Reasoning
Using ratios and fractions to determine unknown quantities based on established relationships.
- Ratios represent a part-to-whole or part-to-part relationship.
- Can be expressed as fractions or decimals.
- Used to predict outcomes based on observed patterns.
Memory trick: No-Shows are 2/5, so Show-Ups are 3/5, then Multiply!