A certain disease has a recovery rate of 85%. If 200 patients are treated, how m

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Question: A certain disease has a recovery rate of 85%. If 200 patients are treated, how many are expected to recover? (2022)

Options:

Correct Answer: 170

Exam Year: 2022

Solution:

Expected recoveries = 85% of 200 = 0.85 × 200 = 170.

A certain disease has a recovery rate of 85%. If 200 patients are treated, how many are expected to recover? (2022)

A certain disease has a recovery rate of 85%. If 200 patients are treated, how many are expected to recover? (2022)

Step 1: Understand that the recovery rate is 85%. This means that out of every 100 patients, 85 are expected to recover.
Step 2: We have 200 patients being treated.
Step 3: To find out how many patients are expected to recover, we need to calculate 85% of 200.
Step 4: Convert 85% to a decimal. 85% as a decimal is 0.85.
Step 5: Multiply the number of patients (200) by the decimal (0.85). So, calculate 0.85 × 200.
Step 6: Perform the multiplication: 0.85 × 200 = 170.
Step 7: Conclude that out of 200 patients, we expect 170 to recover.

Percentage Calculation – Understanding how to calculate a percentage of a total amount.
Basic Arithmetic – Applying multiplication to find the expected number of recoveries.