didieravoaka wrote:When 2/3 of the garments in a shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?
A. 10
B. 9
C. 8
D. 7
E. 5
Of the inspected garments, 18 passed and 2 failed, for a total of 20 inspected garments.
Since the inspected garments constitute 2/3 of the shipment, the shipment = 30 garments.
Since 90% percent of the shipment must pass, the total number that must pass = 90% of 30 = 27.
Since 18 of the inspected garments passed, and a total of 27 garments must pass, the number of uninspected garments that must pass = 27-18 = 9.
The correct answer is
B.
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