If 30 out of 250 patients stay longer than a week, how many of the 3,000 admissions will be released within one week?

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Multiple Choice

If 30 out of 250 patients stay longer than a week, how many of the 3,000 admissions will be released within one week?

Explanation:
This question uses proportions to apply a small rate to a total. The fraction staying longer than a week is 30 out of 250, which is 30/250 = 3/25 = 0.12, meaning 12% of admissions stay longer than a week. Those released within one week are the remaining 88% of admissions. So 88% of 3,000 is 0.88 × 3,000 = 2,640. (Equivalently, 12% of 3,000 is 360, and 3,000 − 360 = 2,640.) Therefore, 2,640 admissions will be released within one week.

This question uses proportions to apply a small rate to a total. The fraction staying longer than a week is 30 out of 250, which is 30/250 = 3/25 = 0.12, meaning 12% of admissions stay longer than a week. Those released within one week are the remaining 88% of admissions. So 88% of 3,000 is 0.88 × 3,000 = 2,640. (Equivalently, 12% of 3,000 is 360, and 3,000 − 360 = 2,640.) Therefore, 2,640 admissions will be released within one week.

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