If 15 out of every 200 patients admitted to a hospital remain longer than a week, how many of the 2,800 admissions in a given year were released within one week?

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Multiple Choice

If 15 out of every 200 patients admitted to a hospital remain longer than a week, how many of the 2,800 admissions in a given year were released within one week?

Explanation:
This question tests using a rate and then subtracting from the total to find how many do the opposite. If 15 out of every 200 stay longer than a week, that’s 15/200 = 0.075 of admissions. In 2,800 admissions, the number staying longer than a week is 2,800 × 0.075 = 210. Those released within one week are the rest: 2,800 − 210 = 2,590. So the correct count is 2,590. (The 210 would be those staying longer than a week, not released within one week.)

This question tests using a rate and then subtracting from the total to find how many do the opposite. If 15 out of every 200 stay longer than a week, that’s 15/200 = 0.075 of admissions. In 2,800 admissions, the number staying longer than a week is 2,800 × 0.075 = 210. Those released within one week are the rest: 2,800 − 210 = 2,590. So the correct count is 2,590. (The 210 would be those staying longer than a week, not released within one week.)

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