According to a local medical facility, 3 out of every 5 patients it serves are treated on an outpatient basis and are not admitted overnight. The medical facility serves 175,000 patients per year. Based on this statement, a total of ________ patients are admitted to the facility each year.
Fill in the blank(s) with the appropriate word(s).
70000
First, determine the fraction of patients admitted to the facility. If 3 out of 5 are not admitted to the facility, the other 2 out of 5 are admitted. So, 2 is to 5 as x is to 175,000, which can be written as the ratio proportion 2 : 5 :: x : 175,000. Then solve for x.
2 × 175,000 = 5x
350,000 = 5x
70,000 = x
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