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At a sporting event, the ratio of security personnel to spectators is 1:250. If 45,000 spectators attend the event, how many security personnel will be required?

A) 180
B) 225
C) 200
D) 250

1 Answer

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Final answer:

The correct answer is A) 180. By setting up a proportion based on the given ratio of 1:250, we find that 180 security personnel are needed for 45,000 spectators.

Step-by-step explanation:

To determine how many security personnel will be needed at a sporting event where the ratio of security personnel to spectators is 1:250, and there are 45,000 spectators, we can set up a proportion:

1 (security personnel) / 250 (spectators) = x (security personnel) / 45,000 (spectators)

Multiplying both sides of the equation by 45,000 gives us: x = (1 * 45,000) / 250

So x = 45,000 / 250 = 180 security personnel.

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