MATH SOLVE

8 months ago

Q:
# When 2/3 of the garments in the 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. 10B. 9C. 8D. 7E. 5

Accepted Solution

A:

Answer:9 uninspected garments must pass inspectionStep-by-step explanation:When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. 18 +2 =20 garments represents 2/3 of the total garmentsFirst we find the total number of garments [tex]\frac{20}{\frac{2}{3} } =20 \cdot \frac{3}{2} = 30[/tex]so total of 30 garments90 percent of the garments in the shipment should pass the inspection90% of 30 is [tex]\frac{90}{100} \cdot 30 = 27[/tex]So 27 garments should get pass in the inspection18 garments passed inspectionremaining is 27-18= 9so 9 uninspected garments must pass inspection