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The airport security randomly selected 36 suitcases from the security line. Of these bags, they screened 8 suitcases. Based on this information, what is the most reasonable prediction for the number of suitcases they will screen in a group of 180?

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The ratio of suitcases to screened suitcases is 36:8. The second ratio is 180:?.

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180 is 5 times 36 which can be proven by dividing 180 by 36.

180 ÷ 36 = 5

Multiply 5 by 8 to find the amount of suitcases that would be screened if there were 180 total suitcases.

5 × 8 = 40

The first ratio is 36:8, and with a scale factor of 5 we get the second equivalent ratio 180:40.

Answer:

Forty suitcases will be screened.

I hope this helps :)

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