Answer:
9 uninspected garments must pass inspection
Step-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 garments
First we find the total number of garments
[tex]\frac{20}{\frac{2}{3} } =20 \cdot \frac{3}{2} = 30[/tex]
so total of 30 garments
90 percent of the garments in the shipment should pass the inspection
90% of 30 is [tex]\frac{90}{100} \cdot 30 = 27[/tex]
So 27 garments should get pass in the inspection
18 garments passed inspection
remaining is 27-18= 9
so 9 uninspected garments must pass inspection
